Question

How many different letter arrangements are possible using all the letters of the word commission?

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Answer 1

[AI-generated answer — Bot GPT 3.5]

The word "commission" has 9 letters in total.

To find the number of possible arrangements, we can use the formula for permutations of a set of items:

n! / (n1! * n2! * n3! * ...)

where n is the total number of items and n1, n2, n3, etc. are the number of times each item is repeated.

In the word "commission", we have:
- 1x 'c'
- 2x 'i'
- 2x 'm'
- 2x 's'
- 1x 'o'
- 1x 'n'

Therefore, the total number of arrangements is:
9! / (1! * 2! * 2! * 2! * 1! * 1!)
= 362,880 / (1 * 2 * 2 * 2 * 1 * 1)
= 362,880 / 8
= 45,360

Therefore, there are 45,360 different letter arrangements possible using all the letters of the word "commission".

Answer 2

no

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the mistake. Let's try solving it again.

The word "commission" has 10 letters in total. To find the number of different arrangements possible, we can calculate the factorial of the total number of letters, considering that some of the letters are repeated.

So, the number of different arrangements of the word "commission" is:

10! / (2! * 2! * 2!) = 3,628,800 / (2 * 2 * 2) = 3,628,800 / 8 = 453,600

Therefore, there are 453,600 different arrangements possible using all the letters of the word "commission".

Answer 4

No the answer is

226,800