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.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 9ECP: In three-card poker, a hand consists of three cards dealt from a deck of 52. How many different...
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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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