Find the number of ways in which a team of eleven players can be selected from $22$ players including $2$ of them and excluding $4$ of them.

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Solution

out of $22$ players, $2$ are to be included and $4$ are to be excluded.
We have to select a team of $11$ players.
So the remaining $9$ players are to be selected from the remaining $16$ players.
This can be done in $^{16} C_{9}$ ways.

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Q. The number of ways in which a team of

11

players can be selected from

22

players including

2

of them and excluding

4

of them is.

Q. In how many ways a cricket team of eleven be selected from 17 players in which 5 players are bowlers and the cricket team must include 2 bowlers?

There are 13 players of cricket, out of which 4 are bowlers. In how many ways a team of eleven be selected from them so as to include at least two bowlers ?

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Find the number of ways in which a team of eleven players can be selected from 22 players including 2 of them and excluding 4 of them.

out of 22 players, 2 are to be included and 4 are to be excluded.We have to select a team of 11 players.So the remaining 9 players are to be selected from the remaining 16 players.This can be done in 16C9 ways.

Find the number of ways in which a team of eleven players can be selected from $22$ players including $2$ of them and excluding $4$ of them.

out of $22$ players, $2$ are to be included and $4$ are to be excluded.
We have to select a team of $11$ players.
So the remaining $9$ players are to be selected from the remaining $16$ players.
This can be done in $^{16} C_{9}$ ways.