In how many ways can a football team of 11 players

Question:

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

(i) include 2 particular players?

(ii) exclude 2 particular players?

Solution:

We know that,

nCr

$=\frac{n !}{r !(n-r) !}$

According to the question,

11 players can be selected out of 16 = 16C11

(i) include 2 particular players = 14C9

 

(ii) exclude 2 particular players = 14C11

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