Question

Hosea's doctor has recommended that his daily diet should include 5 vegetables, 5 fruits, and 4 whole grains. At the grocery store, Hosea has a choice of 19 vegetables, 7 fruits, and 9 whole grains. In how many ways can he get his daily requirements if he doesn't like to eat 2 servings of the same thing in 1 day

Answer 1

Answer:

100

Step-by-step explanation:

Given that Hosea's doctor has recommended that his daily diet should include 5 vegetables, 5 fruits, and 4 whole grains.

At the grocery store, Hosea has a choice of 19 vegetables, 7 fruits, and 9 whole grains.

Since he does not like to eat 2 servings of the same thing in 1 day the choices of vegetables, fruits and grains should be without repitition.

so combination can be used

No of ways  can he get his daily requirements if he doesn't like to eat 2 servings of the same thing in 1 day

= $5C1*5C1*4C1\\= 100$