For each of the following problems, you should write your answer as an expression. Do not give the final numeric value. For example, if your answer is the number of 6-permutations of a set with 10 elements, you should write P(10,6) or 10!/4! or 10 × 9 × 8 × 7 × 6 × 5, but not 151200. 2. The English alphabet contains 26 letters. How many ways are there to choose 14 letters of the alphabet if... 2.1 ...letters can be repeated and the order of the letters matters? 2.2...letters can be repeated and the order of the letters doesn't matter? 2.3...letters cannot be repeated and the order of the letters matters? 2.4 ...letters cannot be repeated and the order of the letters doesn't matter?
For each of the following problems, you should write your answer as an expression. Do not give the final numeric value. For example, if your answer is the number of 6-permutations of a set with 10 elements, you should write P(10,6) or 10!/4! or 10 × 9 × 8 × 7 × 6 × 5, but not 151200. 2. The English alphabet contains 26 letters. How many ways are there to choose 14 letters of the alphabet if... 2.1 ...letters can be repeated and the order of the letters matters? 2.2...letters can be repeated and the order of the letters doesn't matter? 2.3...letters cannot be repeated and the order of the letters matters? 2.4 ...letters cannot be repeated and the order of the letters doesn't matter?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.2: Order Of Operations
Problem 38PPS
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Transcribed Image Text:For each of the following problems, you should write your answer as an expression. Do not
give the final numeric value. For example, if your answer is the number of
6-permutations of a set with 10 elements, you should write P(10,6) or 10!/4! or 10 × 9 × 8 ×
7 × 6 × 5, but not 151200.
2.
The English alphabet contains 26 letters. How many ways are there to
choose 14 letters of the alphabet if...
2.1 ...letters can be repeated and the order of the letters matters?
2.2...letters can be repeated and the order of the letters doesn't matter?
2.3...letters cannot be repeated and the order of the letters matters?
2.4 ...letters cannot be repeated and the order of the letters doesn't matter?
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