In how many ways can a football team of 11 players be selected from 16 players?How many of them will exclude 2 particular players?

Question

$\begin{array}{1 1}(A)\;14C_{9}\\(B)\;14C_{11}\\(C)\;16C_{11}\\(D)\;11C_9\end{array} $

Answer 1

Toolbox:

• $C(n,r)=\large\frac{n!}{r!(n-r)!}$

Total no of players =16

Since 2 particular players are excluded from every selection.So we have to select 11 players from the remaining 14 players

This can be done in -$14C_{11}$ ways

Hence (B) is the correct answer.