SOLUTION: How many distinct arrangements can be made with the letters in the word SATELLITE? A) 90,720 B) 45,360 C) 42,920 D) 234

Algebra ->  Permutations -> SOLUTION: How many distinct arrangements can be made with the letters in the word SATELLITE? A) 90,720 B) 45,360 C) 42,920 D) 234      Log On


   



Question 796259: How many distinct arrangements can be made with the letters in the word SATELLITE?
A) 90,720
B) 45,360
C) 42,920
D) 234

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
SATELLITE

If we could tell the difference between the the two T's,
the two E's and the two L's, the answer would be 9!.

But we must divide 9! by 2! three times because the 9!
counts the permutations as though the pairs of letters were 
distinguishable.  So we must divide by 2!2!2!

Answer: 9%21%2F%282%212%212%21%29 = 362880%2F%282%2A2%2A2%29 = 362880%2F8= 45360

Edwin