Question

In how many ways can the letters P R O B A B I L I T I E S be arranged

(a) without any other restrictions?

(b) such that the E and the A appear next to each other?

(c) such that the E and the A does not appear next to each other?

Answer 1

I think the answer to a is \[\frac{ 13! }{ 2! 3!}\]

Answer 2

(a) is correct

Answer 3

:)

Answer 4

For b I get
\[\frac{ 12! }{ 2!3! }\times2!\]

Answer 5

Yep, (b) is also right

Answer 6

Yay, thanks!

Answer 7

And for c, I did the answer for a - the answer for b.

Answer 8

Sounds reasonable. Good work!

Answer 9

Alright! Thanks so much!