wanna_mba_2005 wrote:

(3)7 different objects must be divided among 3 people.In how many ways can this be done if at least one of them gets exactly one object?

(a)2484 (b)1176 (c)729 (d)None of these

# of combs where all three get exactly 1 object is 0.

# of combs where 2 get exactly 1 object is 3*2*C[2,7].

# of combs where 1 gets exactly 1 object is 3*7*(2^6 - 6).

=> total # = 6*7*6/2 + 3*7*58 = 7*(18 + 174) = 192*7 = 1344.

None of the answers... Maybe it is reasonable to notice that 7 should divide the answer. 2484 does not satisfy, 729 either. But 1176 = 24*(50-1) :: 7...