Complete Question
The complete question is shown on the first uploaded image
Answer:
The number of color are possible [tex]\left n} \atop }} \right. C _r = 1215450[/tex]
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
[tex]\left n} \atop }} \right. C _r = \frac{n !}{ (n-r)! r!}[/tex]
substituting values
[tex]\left n} \atop }} \right. C _r = \frac{75 !}{ (75-4)! 4!}[/tex]
[tex]\left n} \atop }} \right. C _r = \frac{75 !}{ (71)! 4 !}[/tex]
[tex]\left n} \atop }} \right. C _r = \frac{75 *74 * 73* 72 * 71!}{ (71)! (4*3*2 *1)}[/tex]
[tex]\left n} \atop }} \right. C _r = 1215450[/tex]
