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In how many ways can the letters of the word SPECIAL be permuted if the vowels are to appear in alphabetical order
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Aei => 333
Spcl => 24 Ways, So Make It 4444
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posted at 18:43 UTC: (continued)
4444333
4443334
4433344
4333444
3334444
3344443
3344434
3344344
3343444
4334443
4334434
4334344
4433443
4433434
4443343
now do single 3 first then double 3 later...
3444433
3444334
3443344
3433444
4344433
4344334
4343344
4434433
4434334
4443433
now do all 3's apart and separated...
3444343
3443443
3434443
3443434
3434434
3434344
continue with 3 in second place...
4344343
4343443
4343434
now do 3 in third place.
4434343
that's it i think.
hope i didn't miss any.
count them all up and multiply by 24 for the answer to the question because the consonants can be arranged 24 ways = 4 x 3 x 2 x 1.
Last edited by John E. Franklin (2012-12-17 06:51:55)
igloo myrtilles fourmis
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I would say there are 4*5*6*7=840 ways...
Last edited by anonimnystefy (2012-12-17 07:03:18)
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