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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.
Options:
A .  1470
B .  1890
C .  6280
D .  10
E .  1
Answer: Option A
:
A
To select a team of 15, you have to select almost 3 all rounders.
Therefore the required number of ways
= 7C5 × 7C6 × 1C1 × 5C3
=1470.

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