Question

From a group of 15 cricket players, a team of 11players is to be chosen. In how many ways can this be done?
A. 364
B. 1001
C. 1365
D. 32760

Answer 1

Correct Answer - C
Number of ways that a cricket team of 11 players can be made out of 15 players `= .^(15)C_(11) = (15!)/(11!4!)`
`= (15 xx 14 xx 13 xx 12 xx 11!)/(11! xx 1 xx 2 xx 3 xx 4) = 1365`