Question

In how many ways can 3 peaches, 2 tangerines, 4 mangos, and 1 apple be given to 10 children if each child receives exactly 1 piece of fruit?12,60025,20028824

Answer 1

STEP - BY - STEP EXPLANATION

What to find?

Number of ways 3 peaches, 2 tangerines, 4 mangos, and 1 apple can be given to 10 children if each child receives exactly 1 piece of fruit.

Given:

Number of children = 10

Number of peaches = 3

Number of tangerines = 2

Number of Mangoes = 4

Number of apple = 1

Choices of peaches = 3!

Choices of tangerines = 2!

Choices of mangoes = 4!

Choice of apple = 1!

`Number\text{ of ways=}(10!)/(3!*2!*4!*1!)`
`=(10*9*8*7*6*5*4!)/(3*2*2*1*4!*1)`
`=(10*9*8*7*5)/(2)`
`12600`

ANSWER

12600