In how many ways can a team of 10 players be | vedclass

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(C) Total players available = $22$. We need to select a team of $10$ players. $6$ particular players must always be included,so we have already select

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$^{12}C_4$

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(C) Total players available = $22$. We need to select a team of $10$ players. $6$ particular players must always be included,so we have already selected $6$ players. Remaining players to be selected = $10 - 6 = 4$. $4$ particular players must always be excluded,so we remove them from the total pool. Remaining players available to choose from = $22 - 6 - 4 = 12$. Therefore,the number of ways to select the remaining $4$ players from $12$ is $^{12}C_4$.

In how many ways can a team of $10$ players be selected from $22$ players if $6$ particular players are always to be included and $4$ particular players are always excluded?

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