Question

How many ways are there to divide a red bracelet, a yellow bracelet, a green bracelet, and a black bracelet among 4 people if each person can receive any number of bracelets, including 0? Each bracelet must be given to someone.

Answer 1

256 ways

Explanation:

We are given that for bracelet

Yellow,green,black and red

We have to find the number of ways in which

Each person receive any number of bracelet.

Number of peoples=4

If each person receive exactly one bracelet

Then , number of ways=
`4* 3* 2* 1`=24

If all bracelet received by one person and other have no bracelet=
`4C_1=(4!)/(3!)=4`ways

If one person receive 2 bracelet and other two received by any other=
`6 * 4* 6=144 ways`

If two person gets two bracelet each and other two have no bracelet= 36 ways

If one person received three bracelet and one received by any of them =48 ways

Total number of ways=24+4+144+48+36=256 ways

Hence, 256 ways are there to divide four bracelet among 4 peoples.