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In how many different ways can all of 5 identical balls be placed in the cells such that each row contains at least 1 ball

In how many different ways can all of 5 identical balls be placed in the cells such that each row contains at least 1 ball?

(a)

64

(b)

81

(c)

84

(d)

108

Answer:

(d)

Explanation

The 5 balls can be placed in 108 ways, ensuring each row has at least one ball.