A committee of 4 is to be formed from 3 engineers, 4 economics, 2 statistics and1 chartered accountant. Find probability that each committee consist of chartered accountant and at least one engineer?
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Step-by-step explanation:
committee of 4
total members = 4+3+4+2=13
selecting 4 from total =13c4
committee consists of at least one engineer and chartered accountant
= 3c1×1c1 here 2members are already taken
ways to select remaining 2= (3-1)+4+2+(1-1)=8c2
probability is =3c1×1c1×8c2/13c4 = 3×8×7/(2×13×12×11×10/4!)
= 3×8×7×4×3×2/(2×13×12×11×10) = 0.1174
hope this helps
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