160k views
3 votes
How many different 11-letter words (real or imaginary) can be formed from the letters in the word PROBABILITY?

1 Answer

9 votes

Answer: 9,979,200

This is one single number. It's just a bit under 10 million

Delete the commas if necessary.

==================================================

Step-by-step explanation:

If we could tell the repeated letters apart, then there would be

11*10*9*8*7*6*5*4*3*2*1 = 39,916,800

different ways to scramble up the letters.

However, we have 2 copies of b and 2 copies of i

So we have to divide by 2*2 = 4 to correct this overcounting

(39,916,800)/4 = 9,979,200

User Denikov
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories