You have the assignment of designing color codes for different parts. Three colors are used to code on each part. Once a combination of three colors is used-such as green, yellow, and red-these three colors cannot be rearranged to use as a code for another part. If there are 35 combinations, how many colors were available?
A)5
B)7
C)9
D)11

Question

Quizplus · Accepted Answer

The number of combinations of colors can be found using the combination formula nCr = n! / [r!(n-r)!], where n is the total number of colors available, and r is the number of colors to be chosen (in this case, 3). Given 35 combinations, we solve for n in the equation 35 = n! / [3!(n-3)!]. Simplifying, we find that n = 7.

You Have the Assignment of Designing Color Codes for Different