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Name: A. Express the following to permutation notati 1. 15 x 14 x 13 x 12 x 11 x 10 x9 2. 8x7 x6 x 5 x4 3. 9x 8 x 7 x 6 x5

Name: A. Express the following to permutation notati 1. 15 x 14 x 13 x 12 x 11 x 10 x9 2. 8x7 x6 x 5 x4 3. 9x 8 x 7 x 6 x5

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1 of 1 :tion to Permutation Name: Date: A. Express the following to permutation notation B. Express the following to fundamental principle of counting. 1. 15 x 14 x 13 x 12 x 11 x 10 x 9 1. P63) 2. 8x7x 6 x 5 x 4 2. P(1a,s) 3. 9 x 8 x 7 x 6 x 5 3. P(4) 4. 10 x 9 x 8 x 7 x 6x 5 x 4 x 3 x 2 x 1 4. P(a) 5. 13 x 12 5. P(1a ) C. Evaluate the following 1. P(, 10) 4. P(1s, ) 2. P() 5. P(11,7) 3. P(s) D. Write the permutation notation and evaluate. 1. How many ways you can choose a president, vice -president, secretary, treasurer and auditor in a class of 30? 2. How many ways you can form a 10-letter word out of 26 letters of the alphabet without repeating any letter? 3. How many ways a man can travel in the 30 states of 51 states in the USA? 4. How many ways we can choose champion, first runner - up and 2 runner - up out of 20 participants? 5. How many ways we can choose a heart card out of a regular deck of a cards
Transcribed Image Text:1 of 1 :tion to Permutation Name: Date: A. Express the following to permutation notation B. Express the following to fundamental principle of counting. 1. 15 x 14 x 13 x 12 x 11 x 10 x 9 1. P63) 2. 8x7x 6 x 5 x 4 2. P(1a,s) 3. 9 x 8 x 7 x 6 x 5 3. P(4) 4. 10 x 9 x 8 x 7 x 6x 5 x 4 x 3 x 2 x 1 4. P(a) 5. 13 x 12 5. P(1a ) C. Evaluate the following 1. P(, 10) 4. P(1s, ) 2. P() 5. P(11,7) 3. P(s) D. Write the permutation notation and evaluate. 1. How many ways you can choose a president, vice -president, secretary, treasurer and auditor in a class of 30? 2. How many ways you can form a 10-letter word out of 26 letters of the alphabet without repeating any letter? 3. How many ways a man can travel in the 30 states of 51 states in the USA? 4. How many ways we can choose champion, first runner - up and 2 runner - up out of 20 participants? 5. How many ways we can choose a heart card out of a regular deck of a cards
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