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Question

# A crew of an eight oar boat has to be chosen out of 11 men five of whom can row on stoke side only, four on the bow side only and the remaining two on either side. How many different selections can be made?

A
145
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B
150
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C
244
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D
640
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Solution

## The correct option is A 145a⟶ left b⟶ rightCase : 1 We use 2 of them (a) 5C2×4C4=10(2,0)(b) 5C4×4C2=30(0,2)(c) 5C3×4C3=40(1,1)Case : 2 We use one of them (a) 5C3×4C4=10(1,0)(b) 5C4×4C3=20(0,1)There are two ways to choose ⇒ There are 60 possiblities Case : 3 We use zero of them 5C4×4C0=5⇒ Total Possiblities =140+5=145

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