Question

Answer the following questions. a. How many different strings can be made using all letters of the word ABRACATABRA? b. Write a longest possible string with no repetitions using the letters of the word ABRACATABRA

Answer 1

a. 83,160.

b. abrct.

Explanation:

If all the letters were different the number would be 11! but there are 5 A's so we divide by 5! . Also there are 2 b's so we divide by 2! and 2 r's so we divide by another 2!

a. Number of strings = 11! / (5! 2! 2!)

= 11*10*9*8*7*6 / 4

= 11*10*9*2*7*6

= 83,160.

b. That would be abrct.