---### Combinatorial Choices of ColorsSuppose we want to choose 6 colors, without replacement, from 14 distinct colors.#### (a) If the order of the choices is *not* taken into consideration, how many ways can this be done?#### (b) If the order of the choices *is* taken into consideration, how many ways can this be done?---In combinatorics:- When the order of selections does not matter, the problem is a combination.- When the order matters, the problem is a permutation.

Suppose we want to choose 6 colors, without replacement, from 14 distinct colors. (a) If the order of the choices is not taken into consideration, how many ways can this be done? 10 (b) If the order of the choices is taken into consideration, how many ways can this be done? 0

Suppose we want to choose 6 colors, without replacement, from 14 distinct colors. (a) If the order of the choices is not taken into consideration, how many ways can this be done? 10 (b) If the order of the choices is taken into consideration, how many ways can this be done? 0

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

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### Combinatorial Choices of Colors

Suppose we want to choose 6 colors, without replacement, from 14 distinct colors.

#### (a) If the order of the choices is *not* taken into consideration, how many ways can this be done?

<div style="border: 1px solid black; height: 40px; width: 100px; display: inline-block;">
</div>

#### (b) If the order of the choices *is* taken into consideration, how many ways can this be done?

<div style="border: 1px solid black; height: 40px; width: 100px; display: inline-block;">
</div>

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In combinatorics:
- When the order of selections does not matter, the problem is a combination.
- When the order matters, the problem is a permutation.

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