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OpenStudy (anonymous):
In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?
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OpenStudy (agreene):
(3! + 2! + 1!) * 2
OpenStudy (anonymous):
for AAU, and consonants B, C, and S AAUBCS AAUCBS AAUBSC AAUCSB AAUSBC AAUSCB CSBAAU BSCAAU CBSAAU BCSAAU SBCAAU SCBAAU CAAUSB SAAUBC BAAUSC BAAUCS CAAUBS SAAUCB CSAAUB SBAAUC BSAAUC BCAAUS CBAAUS SCAAUB
OpenStudy (anonymous):
now multiply 24 by the number of ways we can arrange AAU
OpenStudy (anonymous):
AAU, AUA, UUA. so it is 24 * 3 = 72
OpenStudy (agreene):
Yeah, I went dumb on this one, lol
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