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Maths-

General

Easy

Question

In a knockout tournament, eight teams participate and are paired for first round matches. The number of ways in which first round can be played is–

⁸P₂
⁸C₂ × ⁶C₂ × ⁴C₂ × ²C₂
105
None of these

The correct answer is: 105

Related Questions to study

The number of six digit numbers in which digits are in ascending order must be

The number of six digit numbers in which digits are in ascending order must be

A bouquet from 11 different flowers is to be made so that it contains not less than 3 flowers. The number of different ways of forming the bouquet is

A bouquet from 11 different flowers is to be made so that it contains not less than 3 flowers. The number of different ways of forming the bouquet is

Consider the set of points S = {(x ,y) : x, y are non- negative integers  n} then the number of squares that can be formed with vertices belong to S and sides parallel to axes must be-

Consider the set of points S = {(x ,y) : x, y are non- negative integers  n} then the number of squares that can be formed with vertices belong to S and sides parallel to axes must be-

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7 people leave their bags outside temple and returning after worshiping the deity picked one bag each at random. In how many ways at least one and at most three of them get their correct bags ?

7 people leave their bags outside temple and returning after worshiping the deity picked one bag each at random. In how many ways at least one and at most three of them get their correct bags ?

Three vertices of n sided convex polygon are selected. If the number of triangles that can be constructed such that none of the sides of the triangle is also the side of the polygon is 30, then the polygon is a -

Three vertices of n sided convex polygon are selected. If the number of triangles that can be constructed such that none of the sides of the triangle is also the side of the polygon is 30, then the polygon is a -

Number of ways in which 2 Indians, 3 Americans, 3 Italians and 4 Frenchmen can be seated on a circle, if the people of the same nationality sit together is -

Number of ways in which 2 Indians, 3 Americans, 3 Italians and 4 Frenchmen can be seated on a circle, if the people of the same nationality sit together is -

parallel

Number of 3 digit numbers which have their digits either in increasing order or in decreasing order is -

Number of 3 digit numbers which have their digits either in increasing order or in decreasing order is -

Assertion : In a triangle ABC; the harmonic mean of the exradii is 3 times the inradius.
Reason : In any triangle ABC; r₁ + r₂ + r₃ = 4R.

Assertion : In a triangle ABC; the harmonic mean of the exradii is 3 times the inradius.
Reason : In any triangle ABC; r₁ + r₂ + r₃ = 4R.
Maths-General

$I f space fraction numerator x cubed left parenthesis x plus 1 right parenthesis to the power of 23 left parenthesis x plus 2 right parenthesis to the power of 333 over denominator 888 left parenthesis x plus 3 right parenthesis left parenthesis x plus 33 right parenthesis squared left parenthesis x plus 333 right parenthesis to the power of 4 end fraction less than 0$

$I f space fraction numerator x cubed left parenthesis x plus 1 right parenthesis to the power of 23 left parenthesis x plus 2 right parenthesis to the power of 333 over denominator 888 left parenthesis x plus 3 right parenthesis left parenthesis x plus 33 right parenthesis squared left parenthesis x plus 333 right parenthesis to the power of 4 end fraction less than 0$

parallel

The process of spermatogenesis and oogenesis is started respectively at

The process of spermatogenesis and oogenesis is started respectively at

The primary sex organs in males and females respectively are

The primary sex organs in males and females respectively are

The first meiotic division during oogenesis is completed at the stage of

The first meiotic division during oogenesis is completed at the stage of

parallel

If $fraction numerator left parenthesis x squared plus 3 right parenthesis left parenthesis x minus 1 right parenthesis to the power of 4 over denominator left parenthesis x plus 1 right parenthesis end fraction greater than 0 space t h e n space x element of$

If $fraction numerator left parenthesis x squared plus 3 right parenthesis left parenthesis x minus 1 right parenthesis to the power of 4 over denominator left parenthesis x plus 1 right parenthesis end fraction greater than 0 space t h e n space x element of$

Assertion : In any ABC, minimum value of $fraction numerator r subscript 1 end subscript plus r subscript 2 end subscript plus r subscript 3 end subscript over denominator r end fraction$ is 9.
Reason : A.M.  G.M.

Assertion : In any ABC, minimum value of $fraction numerator r subscript 1 end subscript plus r subscript 2 end subscript plus r subscript 3 end subscript over denominator r end fraction$ is 9.
Reason : A.M.  G.M.

Assertion: The orthocentre of the given triangle is coincident with the in-centre of the pedal triangle of the given triangle.
Reason : Pedal triangle is the ex-central triangle of the given triangle.

Assertion: The orthocentre of the given triangle is coincident with the in-centre of the pedal triangle of the given triangle.
Reason : Pedal triangle is the ex-central triangle of the given triangle.

parallel

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