Suppose shirts are one of 3 colors (red, blue and green) and pants are either black or brown. An outfit consists of a shirt and pants. What is the minimum number of people that need to be in a room together to guarantee that at least two of them are wearing same-colored outfits

Question

Mathematics

Kenzie Garrett

28 January, 05:12

Suppose shirts are one of 3 colors (red, blue and green) and pants are either black or brown. An outfit consists of a shirt and pants. What is the minimum number of people that need to be in a room together to guarantee that at least two of them are wearing same-colored outfits

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Answers (1)

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Montgomery · Answer 1

You solve this question by finding the maximum possible number of different combinations, then adding one extra person.

3 possible shirts * 2 possible pants for each shirt = 6 combinations of pants and shirts.

6 + 1 = 7

Therefore, the minimum is:

7 People