Question

Four distinct integer are picked at random from {0, 1, 2, 3, 4, 5, 6}. If the probability that among those selected the second smallest is 3 is ‘P’, then ‘35P’ is equal to ___

Answer 1

Req. Probability
$=\frac{{}^3{C}_1{.}^3{C}_2}{{}^7{C}_4}=\frac{3\times 3}{7\times 6\times 5}\times 1\times 2\times 3=\frac{9}{35}=P\Rightarrow 35P=9$