You own 6 hats and are taking 2 on vacation. in how many different ways can you choose 2 hats from 6

15 ways.

Step-by-step explanation:

Total number of hats owned =6

The number of hats taking on vacation=2

To find the different ways to choose 2 hats from 6, we use combination with n=6 and r=2, we get

The number of ways to choose 2 hats from 6=

Hence, in 15 ways we can choose 2 hats from 6 hats.

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5