Permutation and CombinationHard
Question
The number of ways in which 10 identical apples can be distributed among 6 children so that each child receives atleast one apple is :
Options
A.126
B.252
C.378
D.none of these
Solution
Coefficient x10 in (x + x2 .....x5)6
= coefficient of x4 in (x0 + x1 .......x4)6
= 6 + 4 - 1C4 = 9C4 = 126
= coefficient of x4 in (x0 + x1 .......x4)6
= 6 + 4 - 1C4 = 9C4 = 126
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