College of Admission Tests Multan

Permutation and Combination

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Question: 5

Evaluate combination 100C97
  • 161700
  • 151700
  • 141700
  • 131700

  Show/Hide Explanation 

Correct Answer: A

nCr = n! r! × (n - r)!

100C97 = 100! 97! 3! /

= 100 × 99 × 98 × 97! 97! 3!

= 100 × 99 × 98 3 × 2 × 1

= 161700