The letters A,A,A,B,B̟C,C,D,E,F,G,H are printed on identical cards (one letter on each card). The cards are arranged in a row. Find the number of arrangements in which no two A's are placed together, both B's are not placed together, and both C's are not placed together.

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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The letters A,A,A,B,B,C,C,D,E.F,G,H are printed on identical cards (one letter on each
card). The cards are arranged in a row. Find the number of arrangements in which no
two A's are placed together, both B's are not placed together, and both C's are not placed
together.
Transcribed Image Text:The letters A,A,A,B,B,C,C,D,E.F,G,H are printed on identical cards (one letter on each card). The cards are arranged in a row. Find the number of arrangements in which no two A's are placed together, both B's are not placed together, and both C's are not placed together.
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