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A. Express the following to permutation notation B. Express the following to fund 1. 15 x 14 x 13 x 12 x 11 x 10 x 9 1. P63) 2. 8x 7 x6 x 5 x 4 2. P (10.5) 3. 9x 8 x 7 x 6 x5 3. P(94) 4. 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x1 4. P() 5. 13 x 12 5. P(1 )

A. Express the following to permutation notation B. Express the following to fund 1. 15 x 14 x 13 x 12 x 11 x 10 x 9 1. P63) 2. 8x 7 x6 x 5 x 4 2. P (10.5) 3. 9x 8 x 7 x 6 x5 3. P(94) 4. 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x1 4. P() 5. 13 x 12 5. P(1 )

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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## Permutation Notation and Factorial Expressions ### A. Express the following to permutation notation: 1. **15 × 14 × 13 × 12 × 11 × 10 × 9** 2. **8 × 7 × 6 × 5 × 4** 3. **9 × 8 × 7 × 6 × 5** 4. **10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1** 5. **13 × 12** ### B. Express the following to fundamental multiplication: 1. **P(7, 3)** 2. **P(10, 5)** 3. **P(9, 4)** 4. **P(6, 6)** 5. **P(10, 3)** This exercise is designed to help students learn how to convert between different forms of factorial and permutation notation, essential in understanding combinatorics and probability theory. The task involves recognizing the shorthand notation for permutations and expanding it into the multiplication of consecutive integers for a clear understanding of how permutations function mathematically.
Transcribed Image Text:## Permutation Notation and Factorial Expressions ### A. Express the following to permutation notation: 1. **15 × 14 × 13 × 12 × 11 × 10 × 9** 2. **8 × 7 × 6 × 5 × 4** 3. **9 × 8 × 7 × 6 × 5** 4. **10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1** 5. **13 × 12** ### B. Express the following to fundamental multiplication: 1. **P(7, 3)** 2. **P(10, 5)** 3. **P(9, 4)** 4. **P(6, 6)** 5. **P(10, 3)** This exercise is designed to help students learn how to convert between different forms of factorial and permutation notation, essential in understanding combinatorics and probability theory. The task involves recognizing the shorthand notation for permutations and expanding it into the multiplication of consecutive integers for a clear understanding of how permutations function mathematically.
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