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Q.

In how many ways can a team of 11 players be formed out oi 25 players, if 6 out of them are always to be included and 5 always to be excluded

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a

2020

b

2002

c

2008

d

8002

answer is B.

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Detailed Solution

Since 5 players are always to be excluded and 6 players always to be included, therefore 5 players are to be chosen from 14. Hence, required number of ways it  14C5=2002.
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In how many ways can a team of 11 players be formed out oi 25 players, if 6 out of them are always to be included and 5 always to be excluded