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
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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: = = = 45360
Edwin