Question

In how many different ways can 6 identical balls be distributed among 4 different boxes, where each box can have any number of balls?

• A. 12
• B. 18
• C. 84
• D. 88

Answer 1

The correct option is C 84

Given, a + b + c + d = 6 , where a, b, c and d represent 4 different boxes among which 6 identical balls are distributed.
$\therefore$ Required number of ways ${=}^{6+4-1}{C}_{4-1}{=}^9{C}_3=84$