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:

Question

Quantrex Academy · Accepted Answer

Correct answer: B. 1625

Indians Foreigners Number of ways 2 4 C2 6 × C4 8 = 1050 3 6 C3 6 × C6 8 = 560 4 8 C4 6 × C8 8 = 15 Total number of ways = 1625

Indians	Foreigners	Number of ways
$2$	$4$	$C2 6 \times C4 8 = 1050$
$3$	$6$	$C3 6 \times C6 8 = 560$
$4$	$8$	$C4 6 \times C8 8 = 15$

A scientific committee is to be formed from 6 Indians and 8...

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