Respuesta :

Answer:

3360 ways

Step-by-step explanation:

ABCDEFGH-- there are 8! ways to organize these letters

since the I is repeated 3 times and the L is repeated 2 times we have to divide by (3!*2!)

[tex]\frac{8!}{2!3!}[/tex]=3360

3360

Answer:

7

Step-by-step explanation:

Since the two L’s must be consecutive, we consider them to be a single letter LL. Then the word ILLINOIS has n = 7 letters: 3 I’s, 1 LL, 1 N, 1 O and 1 S. Hence the numbers of ways to permute letters of the word ILLINOIS if the two L’s must be consecutive is: 7!

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