Suppose we want to choose 5 letters, without replacement, from 14 distinct letters. (a) If the order of the choices matters, how many ways can this be done? (b) If the order of the choices does not matter, how many ways can this be done?

Suppose we want to choose 5 letters, without replacement, from 14 distinct letters. (a) If the order of the choices matters, how many ways can this be done? (b) If the order of the choices does not matter, how many ways can this be done?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.6: Counting Principles

Problem 8ECP: In how many different ways can two letters be chosen from the letters A, B, C, D, E, F, and G? (The...

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Question

Suppose we want to choose 5 letters, without replacement, from 14
distinct letters.

(a)	If the order of the choices matters, how many ways can this be done?

(b)	If the order of the choices does not matter, how many ways can this be done?

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