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Question

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

How many of these will (i) include 2 particular players ? (ii) exclude 2 particular players ?

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Solution

No of players = 16

No. of players to be selected = 11

No of combination =16C11

=16!11!5!=16×15×14×13×125×4×3×2=4368

(i) Include 2 particular players

Now we have to select 9 more out of remaining 14

Required number of ways =14C9

=14!9!5!=14×13×12×11×105×4×3×2

=2002

(ii) Exclude 2 particular players now we have to select 11 players out of 14 players

=14C11=14!11!3!=14×13×123×2

=364


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