Question

The number of ways in which 51 books can be distributed among three students, each receiving 17 books, is ______

Options

• `(51!)/((17!)^3 xx 3)`

• `(51!)/(17!)^3`

• `(51!)/((17!)^2 xx 3)`

• 51!

Answer 1

The number of ways in which 51 books can be distributed among three students, each receiving 17 books, is `underline((51!)/(17!)^3)`.

Explanation:

Required number of ways = `""^51"C"_17 xx ""^34"C"_17 xx ""^17"C"_17 = (51!)/(17!)^3`