Question

(a) A company that makes crayons is trying to decide which colors to include in a promotional mini-box of crayons. The company can choose the mini-box colors from its collection of colors. How many mini-boxes are possible?

Answer 1

Complete Question

The complete question is shown on the first uploaded image

Answer:

The number of color are possible
`\left n} \atop }} \right. C _r = 1215450`

Explanation:

From the question we are told that

The number of colors is r = 4

The sample size n = 75

The number of color that are possible can be mathematically evaluated as

`\left n} \atop }} \right. C _r = (n !)/( (n-r)! r!)`

substituting values

`\left n} \atop }} \right. C _r = (75 !)/( (75-4)! 4!)`

`\left n} \atop }} \right. C _r = (75 !)/( (71)! 4 !)`

`\left n} \atop }} \right. C _r = (75 *74 * 73* 72 * 71!)/( (71)! (4*3*2 *1))`

`\left n} \atop }} \right. C _r = 1215450`