How many ways are there of arranging the 26 letters of the alphabet so that none of thewords be, lap, scum, or third appear as consecutive letters in the arrangement? You donot need to explicitly evaluate your answer.

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Use the following information to answer the next question Leonidas is having a party and is planning to play some great music over the dinner hour. He made a short list of 18 songs that include 10 classical songs and 8 jazz songs. Over the dinner hour it is decided that of the 18 songs, 4 classical songs and 3 jazz songs will be selected, and then arranged into an order to be played. To determine the number of potential music arrangements for the party the following expressions were created: i) 10C4 X 8C3 X 7! ii) 10P4 8P3 iii) (¹0)(3) × 5040 iv) 18P7 v) (10 x 9 x 8 x 7) × (8 × 7 × 6) vi) 11. How many of the above expressions are correct? a) 5 b) 4 (10x9x8x7) (8x7x6) X 4! 3! c) 3 x 7! d) 2
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How many ways are there of arranging the 26 letters of the alphabet so that none of the words be, lap, scum, or third appear as consecutive letters in the arrangement? You do not need to explicitly evaluate your answer.