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Q.

A scientific committee is to be formed from 6 Indians and 8 foreigners, which includes at least 2 Indians and  double the number of foreigners as Indians. Then the number of ways, the committee can be formed is

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a

1625

b

560

c

1050

d

575

answer is A.

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Detailed Solution

2I,4F+3I,6F+4I,8F=6C28C4+6C38C6+6C48C8                                             =15×70+20×28+15×1                                             =1050+560+15                                             =1625
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