In how many ways can 15 things be divided into groups of 8, 4 and 3 respectively

In how many ways can 15 things be divided into groups of 8, 4 and 3 respectively

Text Solution

Solution : Selection of 8 out of 15 can be done in `.^(15)C_(8)` ways <br> Now, selection of 4 out of remaining 7 can be done in `.^(7)C_(4)` ways <br> selection of 3 out of remaining 3 can be done in `.^(3)C_(3)` ways. <br> `therefore` Required number of ways `=.^(15)C_(8).^(7)C_(4).^(3)C_(3)` <br> `= 225225`.