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In how many ways can the letters of the word PROBABLY be arranged using all of the letters?

2 Answers

2 votes

Answer:

20160

Explanation:

Let's write the word PROBABLY. There are 8 letters in total, but the letter B repeats twice. So, instead of just doing 8! or 1*2*3*4*5*6*7*8, you have to exclude the two B's.

So, you have to do 8! / 2! because the 2! is the two B's.

Hope this helps!! :)

User Yash Tamakuwala
by
8.0k points
3 votes

Answer:

20160

Explanation:

If there is no repeat of the alphabets, the answer will simply be 8! = 40320 (8 words)

but, there is B which repeated 2 times.

So, 8!/2!

User David Narayan
by
8.3k points

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