Question

Find the number of permutations of the letters of the word SATELLITE.

Answer 1

45,360

Explanation:

45,360

Answer 2

I believe that it would be 45,360!

Explanation:

An undeniably large number that would surprisingly be shrunken down to 9 if only we could tell the difference between the the two T's, the two E's and the two L's

In order to find your answer you have to do the following:

`(9)/(2*2*2) = (362,880)/(2*2*2) = (362,880)/(8) = 45,360`

(We must divide 9 by 2 three times because the 9 counts the permutations as though the pairs of letters were distinguishable.)

Hope that makes sense!