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A secretary differentiates files by a variety of color combinations.

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by BTGModeratorVI » Tue May 12, 2020 2:20 pm

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Answers

A

B

C

D

E

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Difficulty—

A secretary differentiates files by a variety of color combinations. If she uses 4 different colors, and marks each file with 1, 2, or 3 of the colors, how many different color combinations can she generate?

(A) 4
(B) 12
(C) 14
(D) 15
(E) 24

Answer: c
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Re: A secretary differentiates files by a variety of color combinations.

by Scott@TargetTestPrep » Fri May 15, 2020 5:48 am
BTGModeratorVI wrote: ↑
Tue May 12, 2020 2:20 pm
 A secretary differentiates files by a variety of color combinations. If she uses 4 different colors, and marks each file with 1, 2, or 3 of the colors, how many different color combinations can she generate?

(A) 4
(B) 12
(C) 14
(D) 15
(E) 24

Answer: c
Solution:

The total number of different color combinations that can be generated, assuming the order does not matter, is:

4C1 + 4C2 + 4C3 = 4 + 6 + 4 = 14

Answer: C

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