(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…

Question

asked Oct 7, 2021 180k views

1 Answer

Hanugm · Answer 1 · 2021-10-12T20:04:38+0000

Complete Question

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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

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

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

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

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