A group of students comprises of 5 boys and n girls. If the number of ways, in which a team of 3 students can randomly be selected from this group such that there is at least one boy and at least one girl in each team

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Quantrex Academy · Accepted Answer

Correct answer: C. 25

(5) (n) Boys Girls 2 1 1 2 Here total number of ways = ^ 5 C _ 2 × ^ n C _ 1 + ^ 5 C _ 1 × ^ n C _ 2 = 1750 ⇒ 10n + 5 n( n - 1 ) 2 = 1750 ⇒ n^ 2 + 3n - 700 = 0 ⇒ n = - 28, 25 n cannot be negative Hence n = 25

A group of students comprises of 5 boys and n girls. If the number...

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(5)	(n)
Boys	Girls
$2$	$1$
$1$	$2$