A kindergarten student has 12 crayons a How many ways can 3

A kindergarten student has 12 crayons,

a) How many ways can 3 blue, 4 red and 5 green crayons be arranged in a row?

b) how many ways can 12 distinct crayons be placed into thee boxes contraining 3,4 and 5 crayons respectively?

Solution

a)

By permutation of like objects, there are

N = 12!/(3!4!5!) = 27720 ways [ANSWER]

****************

b)

It is still the same as above,

N = 12!/(3!4!5!) = 27720 ways [ANSWER]