Permutation and CombinationHard

Question

Assuming the balls to be identical except for difference in colours, the number of ways in which one or more balls can be selected from10 white, 9 green and 7 black balls is :-

Options

A.879
B.880
C.629
D.630

Solution

W10, G9, B7
selection of one or more balls
= (10 + 1) (9 + 1) (7 + 1) - 1
= 11 × 10 × 8 - 1
= 879

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