Question

Suppose all the balls and all the boxes are also identical. Then in how many ways can all these balls be distributed into these boxes?

• A. 12
• B. 13
• C. 16
• D. 255

Answer 1

The correct option is B 13

Possible ways of distribution are as follows:
(i) (7) (ii) (6+1) (iii) (5+2) (iv) (4+3) (v) (5+1+1) (vi) (4+2+1) (vii) (3+2+2) (viii) (3+3+1) (ix) (4+1+1+1) (x) (3+2+1+1) (xi) (2+2+2+1) (xii) (3+1+1+1+1) (xiii) (2+2+1+1+1)
Hence total number of ways of distribution = 13.