If 12 identical balls are to be placed in 3 identical boxes, then the probability that one of the boxes…

If 12 identical balls are to be placed in 3 identical boxes, then the probability that one of the boxes contains exactly 3 balls is

  1. 22 13 11
  2. 519
  3. 55 2 3 1 0
  4. 220 1 3 1 2

Solution

B1      B2      B3

12      0         0

11       1        0

10       1        1

10       2        0

9         3        0

9         2        1

8         4        0

8         3        1

8         2        2

7         5        0

7         4        1

7        3         2

6        6         0

6        5         1

6        4         2

6        3         3

5        5        2

5         4        3

4         4        4

Total number of possibilities=19.

Number of favourable case =5

Required probability =519

Asked in: JEE Main 2015 (04 Apr)

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