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Help with Permutations..?


The Board of Directors does not have assigned seats in the conference room. If there are 12 of them, seated at a round table, how many different seating arrangements are possible?


Using the letters of the word YOUNG, tell how many different 5-letter combinations are possible if:

the first letter must be Y

the vowels and consonants alternate, beginning with a consonant (Y is a consonant here and Y does not have to be first).

1. 12! = 479,001,600

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