Question

How many ways are there to arrange the letters in MISSION, so that the two Is are next to each other? For example, this arrangement would be bad SONIMIS and the arrangement would be good NOMSIIS. - $frac{7!}{2!2!3!}$ - 6. $frac{7!}{2!3!}$ - 6. $frac{5!}{2!3!}$

          How many ways are there to arrange the letters in MISSION, so
that the two Is are next to each other?
For example, this arrangement would be bad SONIMIS and the
arrangement would be good NOMSIIS.
- $frac{7!}{2!2!3!}$
- 6. $frac{7!}{2!3!}$
- 6. $frac{5!}{2!3!}$

$How many ways are there to arrange the letters in MISSION, so that the two Is are next to each other? For example, this arrangement would be bad SONIMIS and the arrangement would be good NOMSIIS. - frac7!2!2!3! - 6. frac7!2!3! - 6. frac5!2!3!$

Added by Jeremiah N.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Danielle Fairburn

Step 1

Then, we have 6 "objects" to arrange: M, S, S, O, N, and II. There are 6! ways to arrange these objects. Now, we need to account for the fact that the Ss are indistinguishable. There are 2! ways to arrange the Ss within any arrangement of the 6 "objects". Show more…

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How many ways are there to arrange the letters in MISSION, so that the two Is are next to each other? For example, this arrangement would be bad SONIMIS and the arrangement would be good NOMSIIS. 7! / (2! * 3!) 5! * 6 * 2 * 1 * 3 * 1