For the T-20 World Cup, Indian team of 15 players is to be formed from 20 player

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Question

For the T-20 World Cup, Indian team of 15 players is to be formed from 20 players. Out of 20 players, 7 are batsmen, 7 are bowlers, 5 all-rounders and 1 wicketkeeper. In how many ways this can be done by taking exactly 5 bowlers, 6 batsmen, 1 wicketkeeper and at most 3 all-rounders.

Answer: Option A
:
A
To select a team of 15, you have to select almost 3 all rounders.
Therefore the required number of ways
=

^{7}

C

_{5}

\times

^{7}

C

_{6}

\times

^{1}

C

_{1}

\times

^{5}

C

_{3}

=1470.

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