Jambmaths question:
In how many can a delegation of 3 be chosen from among 5 men and 3 women. If at least one man and at least one woman must be included.
Option A:
15
Option B:
28
Option C:
30
Option D:
45
Jamb Maths Solution:
Possible selection$\begin{align} & ManWoman \\ & \text{ }1\text{ }2\text{ }{{}^{5}}{{C}_{1}}{{\times }^{3}}{{C}_{2}}=5\times 3=15 \\ & \text{ }\underline{\text{ }2\text{ }1{{}^{5}}{{C}_{2}}{{\times }^{3}}{{C}_{1}}=10\times 3=30} \\ & \text{ }Total\text{ }Possible\text{ }selection=\text{ }45 \\\end{align}$
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