1) a) Evaluate each. 5! 1. 4! 10! 2. 3! 7! 3. Р(5, 3) 4. Р(6, 6) b) true or false, where n is an arbitrary nonnegative integer and 0 < r < n. Pп, 1) — Р(п, п — 1) c) Find the number of two-digit numerals that can be formed using the digits 2, 3, 5, 6, and, 9 and that contain no repeated digits. Find the number of three-digit numerals that can be formed using the digits 2, 3, 5, 6, and 9, if repetitions are not allowed. e) Find the number of palindromes of length n over the English alphabet.
1) a) Evaluate each. 5! 1. 4! 10! 2. 3! 7! 3. Р(5, 3) 4. Р(6, 6) b) true or false, where n is an arbitrary nonnegative integer and 0 < r < n. Pп, 1) — Р(п, п — 1) c) Find the number of two-digit numerals that can be formed using the digits 2, 3, 5, 6, and, 9 and that contain no repeated digits. Find the number of three-digit numerals that can be formed using the digits 2, 3, 5, 6, and 9, if repetitions are not allowed. e) Find the number of palindromes of length n over the English alphabet.
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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