Maths-
General
Easy

Question

The streets of a city are arranged like the lines of a chess board. There are m streets running North to South & 'n' streets running East to West. The number of ways in which a man can travel from NW to SE corner going the shortest possible distance is-

  1. square root of m to the power of 2 end exponent plus n to the power of 2 end exponent end root  
  2. square root of left parenthesis m minus 1 right parenthesis to the power of 2 end exponent. left parenthesis n – 1 right parenthesis to the power of 2 end exponent end root  
  3. fraction numerator left parenthesis m plus n right parenthesis factorial over denominator m factorial. n factorial end fraction  
  4. fraction numerator left parenthesis m plus n – 2 right parenthesis factorial over denominator left parenthesis m – 1 right parenthesis factorial. left parenthesis n – 1 right parenthesis factorial end fraction  

The correct answer is: fraction numerator left parenthesis m plus n – 2 right parenthesis factorial over denominator left parenthesis m – 1 right parenthesis factorial. left parenthesis n – 1 right parenthesis factorial end fraction

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