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?
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 21E: License Plate Numbers In the state of Pennsylvania, each standard automobile license plate number...
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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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