1) Find the number of permutations of all the letters of the word lancers that satisfy each of thefollowing conditions.a) The letters can be in any order.b) The third letter must be n. Explain your solution.c) The letters r and s must be adjacent.d) The letters r and s are separated by only one letter.e) The letters r and s must be adjacent while the letters a and n must be separated.

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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) Find the number of permutations of all the letters of the w following conditions