We have to choose 11 players for cricket team from eight batsmen, six bowlers, four all-rounders and two wicket-keepers. The number of selections when only one all-rounder and one wicket-keeper will play, is
A
8×14C9
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B
8×18C9
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C
18C11
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D
None of these
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Solution
The correct option is A8×14C9 Number of ways in which one all-rounder and one wicket-keeper can be selected is equal to 2×4=8.
So, only 9 players need to be selected from 14 players and that can be done in 14C9.
So, total number possible teams can be made is 8×14C9.