document.write( "Question 388594: In how many permutations of the word AUROBIND do the vowels appear in alphabetical order \n" ); document.write( "
Algebra.Com's Answer #274960 by robertb(5830)![]() ![]() You can put this solution on YOUR website! The ordering of the vowels A,I,O,U, is already fixed, and can be done only 1 way. Now pick any one of the remaining consonants. It would have 5 possible places to go relative to the 4 vowels. Once that consonant is in place, another consonant has 6 places to go. The 3rd consonant has 7 places to go, and the last consonant has 8 places to go. There are then 5*6*7*8 = 1,680 ways. \n" ); document.write( " |