Maths-
General
Easy

Question

The number of ways in which 6 gentlemen and 3 ladies be seated round a table so that every gentleman may have a lady by his side is

  1. 1440    
  2. 720    
  3. 240    
  4. 480    

The correct answer is: 1440


    First we arrange 6 men in a circle = 5! ways
    Between gaps 3 ladies can be arranged in 2(3!) ways
    \ required no. of ways = 5! × 2(3!)
    = 120 ×12
    = 1440

    Related Questions to study

    General
    Maths-

    If L t subscript left parenthesis x rightwards arrow infinity right parenthesis left parenthesis 1 plus a divided by x plus b divided by x squared right parenthesis squared x equals e squared
    then the values of a and b are

    If L t subscript left parenthesis x rightwards arrow infinity right parenthesis left parenthesis 1 plus a divided by x plus b divided by x squared right parenthesis squared x equals e squared
    then the values of a and b are

    Maths-General
    General
    Maths-

    A circle having radius 7 touches both the axes and lies in 1st quadrant. If the circle is rolled along the positive x-axis and completes on rotation. Then equation of circle in final position is

    A circle having radius 7 touches both the axes and lies in 1st quadrant. If the circle is rolled along the positive x-axis and completes on rotation. Then equation of circle in final position is

    Maths-General
    General
    Maths-

    If L t subscript left parenthesis x rightwards arrow 0 right parenthesis invisible function application left parenthesis l o g invisible function application left parenthesis 3 plus x right parenthesis minus l o g invisible function application left parenthesis 3 minus x right parenthesis right parenthesis divided by x equals k space t h e n M space k equals

    For such questions, we should know different formulas.

    If L t subscript left parenthesis x rightwards arrow 0 right parenthesis invisible function application left parenthesis l o g invisible function application left parenthesis 3 plus x right parenthesis minus l o g invisible function application left parenthesis 3 minus x right parenthesis right parenthesis divided by x equals k space t h e n M space k equals

    Maths-General

    For such questions, we should know different formulas.

    parallel
    General
    Maths-

    Let α and β be the distinct roots of   a x squared plus b x plus c equals 0 comma t h e n subscript left parenthesis x plus a right parenthesis to the power of L t left parenthesis 1 minus c o s invisible function application left parenthesis a x squared plus b x plus c right parenthesis right parenthesis divided by left parenthesis left parenthesis x minus alpha right parenthesis squared right parenthesis

    Let α and β be the distinct roots of   a x squared plus b x plus c equals 0 comma t h e n subscript left parenthesis x plus a right parenthesis to the power of L t left parenthesis 1 minus c o s invisible function application left parenthesis a x squared plus b x plus c right parenthesis right parenthesis divided by left parenthesis left parenthesis x minus alpha right parenthesis squared right parenthesis

    Maths-General
    General
    Maths-

    L t subscript left parenthesis x rightwards arrow 1 right parenthesis invisible function application left parenthesis 1 minus x right parenthesis t a n invisible function application left parenthesis pi x divided by 2 right parenthesis equals

    L t subscript left parenthesis x rightwards arrow 1 right parenthesis invisible function application left parenthesis 1 minus x right parenthesis t a n invisible function application left parenthesis pi x divided by 2 right parenthesis equals

    Maths-General
    General
    Maths-

    L t subscript left parenthesis x rightwards arrow pi divided by 2 right parenthesis invisible function application left parenthesis left square bracket 1 minus t a n invisible function application x divided by 2 right floor left square bracket 1 minus s i n invisible function application x right square bracket right parenthesis divided by left parenthesis left square bracket 1 plus t a n invisible function application x divided by 2 right square bracket left square bracket pi minus 2 x right square bracket cubed right parenthesis equals

    L t subscript left parenthesis x rightwards arrow pi divided by 2 right parenthesis invisible function application left parenthesis left square bracket 1 minus t a n invisible function application x divided by 2 right floor left square bracket 1 minus s i n invisible function application x right square bracket right parenthesis divided by left parenthesis left square bracket 1 plus t a n invisible function application x divided by 2 right square bracket left square bracket pi minus 2 x right square bracket cubed right parenthesis equals

    Maths-General
    parallel
    General
    Maths-

    L t subscript left parenthesis x rightwards arrow a right parenthesis invisible function application left parenthesis √ left parenthesis a plus 2 x right parenthesis minus √ 3 x right parenthesis divided by left parenthesis √ left parenthesis 3 a plus x right parenthesis minus 2 √ x right parenthesis equals

    L t subscript left parenthesis x rightwards arrow a right parenthesis invisible function application left parenthesis √ left parenthesis a plus 2 x right parenthesis minus √ 3 x right parenthesis divided by left parenthesis √ left parenthesis 3 a plus x right parenthesis minus 2 √ x right parenthesis equals

    Maths-General
    General
    Maths-

    L t subscript left parenthesis x rightwards arrow 1 right parenthesis invisible function application left parenthesis left parenthesis 2 x minus 3 right parenthesis left parenthesis √ x minus 1 right parenthesis right parenthesis divided by left parenthesis 2 x squared plus x minus 3 right parenthesis equals

    For such questions, we should know the different formulas of limits.

    L t subscript left parenthesis x rightwards arrow 1 right parenthesis invisible function application left parenthesis left parenthesis 2 x minus 3 right parenthesis left parenthesis √ x minus 1 right parenthesis right parenthesis divided by left parenthesis 2 x squared plus x minus 3 right parenthesis equals

    Maths-General

    For such questions, we should know the different formulas of limits.

    General
    Maths-

    L t subscript left parenthesis x rightwards arrow infinity right parenthesis invisible function application left parenthesis 11 x cubed minus 3 x plus 4 right parenthesis divided by left parenthesis 13 x cubed minus 5 x squared minus 7 right parenthesis

    For such questions, we should know different formulae of limit.

    L t subscript left parenthesis x rightwards arrow infinity right parenthesis invisible function application left parenthesis 11 x cubed minus 3 x plus 4 right parenthesis divided by left parenthesis 13 x cubed minus 5 x squared minus 7 right parenthesis

    Maths-General

    For such questions, we should know different formulae of limit.

    parallel
    General
    Maths-

    The number of n-digit numbers,no two consecutive digits being the same is

    The number of n-digit numbers,no two consecutive digits being the same is

    Maths-General
    General
    Maths-

    A reserve of 12 railway station masters is to be divided into two groups of 6 each one for day duty and the other for night duty. The number of ways in which this can be done if two specified persons A,B should not be included in the same group is

    A reserve of 12 railway station masters is to be divided into two groups of 6 each one for day duty and the other for night duty. The number of ways in which this can be done if two specified persons A,B should not be included in the same group is

    Maths-General
    General
    Maths-

    L t subscript left parenthesis x rightwards arrow infinity right parenthesis invisible function application left parenthesis 8 vertical line x vertical line plus 3 x right parenthesis divided by left parenthesis 3 vertical line x vertical line minus 2 x right parenthesis

    For such questions, we should know different rules and formulae of limits.

    L t subscript left parenthesis x rightwards arrow infinity right parenthesis invisible function application left parenthesis 8 vertical line x vertical line plus 3 x right parenthesis divided by left parenthesis 3 vertical line x vertical line minus 2 x right parenthesis

    Maths-General

    For such questions, we should know different rules and formulae of limits.

    parallel
    General
    Maths-

    L t subscript left parenthesis x rightwards arrow infinity right parenthesis invisible function application left parenthesis 2 plus c o s squared invisible function application x right parenthesis divided by left parenthesis x plus 2007 right parenthesis

    L t subscript left parenthesis x rightwards arrow infinity right parenthesis invisible function application left parenthesis 2 plus c o s squared invisible function application x right parenthesis divided by left parenthesis x plus 2007 right parenthesis

    Maths-General
    General
    Maths-

    The value of  if blank space presuperscript n C subscript 3 colon blank to the power of n minus 1 end exponent C subscript 4 equals 8 colon 5 is

    The value of  if blank space presuperscript n C subscript 3 colon blank to the power of n minus 1 end exponent C subscript 4 equals 8 colon 5 is

    Maths-General
    General
    Maths-

    L t subscript left parenthesis x rightwards arrow infinity right parenthesis invisible function application left parenthesis √ left parenthesis x squared plus x right parenthesis minus x right parenthesis

    For such questions, we have to remember the different formulas of limit.

    L t subscript left parenthesis x rightwards arrow infinity right parenthesis invisible function application left parenthesis √ left parenthesis x squared plus x right parenthesis minus x right parenthesis

    Maths-General

    For such questions, we have to remember the different formulas of limit.

    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.