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

Step-by-step 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

       $\left n} \atop }} \right. C _r = \frac{n !}{ (n-r)! r!}$

substituting values

         $\left n} \atop }} \right. C _r = \frac{75 !}{ (75-4)! 4!}$

       $\left n} \atop }} \right. C _r = \frac{75 !}{ (71)! 4 !}$

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

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