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Question -

From a group of 15 cricket players, a team of 11 players is to be chosen. In how many ways can this be done?



Answer -

Given:

Number of players = 15

Number of players tobe selected = 11

By using the formula,

nCr = n!/r!(n – r)!

15C11 = 15! / 11! (15 – 11)!

= 15! / (11! 4!)

= [15×14×13×12×11!] /(11! 4!)

= [15×14×13×12] /(4×3×2×1)

= 15×7×13

= 1365

 The total numberof ways of choosing 11 players out of 15 is 1365 ways.

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