Question

Diego‘s doctor has recommended that his daily diet should include three vegetables, two fruits, and two whole grains. At the grocery store Diego has a choice of 9 vegetables 9 fruits and 11 whole grains. In how many ways can he get his daily requirements if he doesn’t like to eat two servings of the same thing in one day

Answer 1

Step 1

Given;

Step 2

`\begin{gathered} 9C_3*11C_2*9C_2 \\ nCr=(n!)/(r!\left(n-r\right)!) \end{gathered}`
`84*55*36=166320`

Since he does not like to eat two servings of the same thing in one day, then the answer will be;

`166320`

Answer;

`166320\text{ ways}`