At the grocery store, I bought $4$ different items. I brought $3$ identical bags, and handed them to the cashier. How many ways are there for the cashier to put the items I bought in the $3$ identical bags, assuming he might leave some of the bags empty

Respuesta :

There are 18 different ways in which the cashier can put the items in the bags.

In how many ways can 4 items be distributed in 3 bags?

There are some cases to consider.

1) The 4 items go in the same bag, there are 3 permutations for this case.

2) 3 items on one bag, and 1 item on other bag (there are 6 permutations for this case).

3) 2 items on one bag, 2 items on other bag (6 permutations).

4) 2 items on one bag, 1 item on each of the other two bags (3 permutations for this case).

We just need to count the total number of permutations, which is:

3 + 6 + 6 + 3 = 18

There are 18 different ways in which the cashier can put the items in the bags.

If you want to learn more about permutations:

https://brainly.com/question/11732255

#SPJ1