Jambmaths question:
A committee of six is to be formed by a state governor from nine commissioner and three members of state house of assembly. In how many ways can the committee be chosen so as to include one member of the house of assembly?
Option A:
378 ways
Option B:
462 ways
Option C:
840ways
Option D:
924 ways
Jamb Maths Solution:
$\begin{align} & \text{Possible ways of selecting the } \\ & \text{1 member of house of Assembly member }{{\text{=}}^{3}}{{C}_{1}} \\ & 5\text{ commissioner }{{\text{=}}^{9}}{{C}_{5}} \\ & \text{The possible selection}{{=}^{3}}{{C}_{1}}{{\times }^{9}}{{C}_{5}}=378ways \\\end{align}$
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