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Find the number of ways in which the bir...

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

Text Solution

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The correct Answer is:
`.^(12)C_(2)xx(2^(6)-2)`
Any two months can be chosen in `.^(12)C_(2)` ways. The six birthdays can fall in these two months in `2^(6)` ways. Out of these `2^(6)` ways there are two ways when all the six birthdays fall in one month. So, the required number of ways is `.^(12)C_(2)xx(2^(6)-2)`.
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