A secretary differentiates files by a variety of color combinations.

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BTGModeratorVI: Legendary Member; Posts: 1223; Joined: Sat Feb 15, 2020 2:23 pm; Followed by:1 members

A secretary differentiates files by a variety of color combinations.

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

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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
Source: GMAT hacks

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Source: Beat The GMAT — Problem Solving | Tue May 12, 2020 2:20 pm

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8085; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

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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