Consider reordering the letters in the word TENNESSEE. Use the technique shown in Example 9.5.11 to answer the following questions. (a) If the N's are placed first, how many ways are there to choose positions for them? 21 x If the E's are placed second, how many ways are there to choose positions for them? 5 x If the S's are placed third, how many ways are there to choose positions for them? 21 X If the T is placed fourth, how many ways are there to choose a position for it? 8 X So, the total number of ways to reorder the letters in the word TENNESSEE is 84 (b) Imagine placing the letters into positions in a different order. If the E's are placed first, how many ways are there to choose positions for them? 126 If the T is placed second, how many ways are there to choose a position for it? 8 x If the S's are placed third, how many ways are there to choose positions for them? 7 X If the N's are placed fourth, how many ways are there to choose positions for them? 6 x x. (c) When the method suggested in part (b) is used to find the total number of ways to reorder the letters in the word TENNESSEE, the result is the same as B✔ when the method of part (a) is used.
Consider reordering the letters in the word TENNESSEE. Use the technique shown in Example 9.5.11 to answer the following questions. (a) If the N's are placed first, how many ways are there to choose positions for them? 21 x If the E's are placed second, how many ways are there to choose positions for them? 5 x If the S's are placed third, how many ways are there to choose positions for them? 21 X If the T is placed fourth, how many ways are there to choose a position for it? 8 X So, the total number of ways to reorder the letters in the word TENNESSEE is 84 (b) Imagine placing the letters into positions in a different order. If the E's are placed first, how many ways are there to choose positions for them? 126 If the T is placed second, how many ways are there to choose a position for it? 8 x If the S's are placed third, how many ways are there to choose positions for them? 7 X If the N's are placed fourth, how many ways are there to choose positions for them? 6 x x. (c) When the method suggested in part (b) is used to find the total number of ways to reorder the letters in the word TENNESSEE, the result is the same as B✔ when the method of part (a) is used.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 7CT: An anagram of a word is a rearrangement of the letters of the word. a How many anagrams of the word...
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