Question 47

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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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