Find the number of ways in which the birthday of six different persons will fall in exactly two calendar months.

Explanation

Total number of ways `= (12)^6`

Favourable outcomes `=` Birthday falls in two calendar months `=^{12}C_2(2^6-2)`

Required Probability `(=^{12}C_2(2^6-2))/(12)^6={341}/(12)^5`