Question

EXPERTS ONLY its not 0 or 128 In how many ways can you put seven marbles in different colors into four jars? Note that the jars may be empty.

Answer 1

Answer: 16384

Explanation:

Given, Total jars = 4

Total marbles = 7

Since we need to put marbles in 4 different jars, we need to choose a jar each time.

Possible choices for jars =4

Number of time we need to choose = number of marbles

So, by fundamental counting principle, we have

Total ways to put 7 marbles in 4 jars =
`4*4* 4* 4*4* 4* 4`

`=4^7\\\\=16384`

Hence, the required number of ways =16384