Question

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

Answer 1

Answer:

I believe that it would be 45,360!

Step-by-step 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:

$\frac{9}{2*2*2} = \frac{362,880}{2*2*2} = \frac{362,880}{8} = 45,360$

(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!

Answer 2

Answer:

45,360

Step-by-step explanation:

45,360