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6.Permutation and Combination
easy
In how many ways a team of $11$ players can be formed out of $25$ players, if $6$ out of them are always to be included and $5$ are always to be excluded
A
$2020$
B
$2002$
C
$2008$
D
$8002$
Solution
(b) Since $5$ are always to be excluded and $6$ always to be included, therefore $5$ players to be chosen from $14$. Hence required number of ways are $^{14}{C_5} = 2002$.
Standard 11
Mathematics