Skip to content

CA Foundation · Quantitative Aptitude · Permutations and Combinations

A cricket academy in Mumbai has 12 players. A squad of 11 is to be picked for a match. In how many ways can the squad be chosen?

The squad can be chosen in 12 ways. Selecting 11 players out of 12 is the same as selecting the one player who is left out, so 12C11 equals 12C1, which is 12.

  1. A11
  2. B12Correct
  3. C66
  4. D132

Explanation

Choosing 11 from 12 equals 12C11 = 12C1 = 12. Equivalent to choosing the one player to be left out. The value 66 is 12C2, which wrongly selects 2 players, and 132 is 12P2.

Did you get it right without looking?

One question tells you little. A timed set on Permutations and Combinations shows your real accuracy, how long you take and where you lose marks.

Practise Permutations and CombinationsFree diagnostic mock

More Permutations and Combinations questions