a) 76
b) 80
c) 84
d) 96
Answer: b
Explanation: Required number of ways
$$\left( {{}^5{{\text{C}}_1} \times {}^4{{\text{C}}_2}} \right) + \left( {{}^5{{\text{C}}_2} \times {}^4{{\text{C}}_1}} \right)$$ $$ + \left( {{}^5{{\text{C}}_3}} \right)$$
$$ = \left( {5 \times \frac{{4 \times 3}}{{2 \times 1}}} \right)$$ $$ + \left( {\frac{{5 \times 4}}{{2 \times 1}} \times 4} \right)$$ $$ + \left( {\frac{{5 \times 4 \times 3}}{{3 \times 2 \times 1}}} \right)$$
$$\eqalign{
& = \left( {30 + 40 + 10} \right) \cr
& = 80 \cr} $$
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