How many different 10letter words real or imaginary can be f

How many different 10-letter words (real or imaginary) can be formed from the following letters? E, B: O, J, 0: P: B, V, I, T ten-letter words (real or imaginary) can be formed with the given letters. (Type a whole number.)

Solution

We have 10 letters that can be arranged in 10! ways.

However, O and B are repeated twice each.

So,

Actual number of ways = 10! / (2! * 2!)

= 907200 ways

Hope this helps.