SOLUTION: How many different ways can you arrange the letters in the word PEPSI?

Algebra ->  Permutations -> SOLUTION: How many different ways can you arrange the letters in the word PEPSI?      Log On


   



Question 1083305: How many different ways can you arrange the letters in the word PEPSI?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The P's can have
C( 5,2 ) = +5%21+%2F+%28+2%21+%2A+%28+5-2+%29%21+%29+
C( 5,2 ) = +5%21+%2F+%28+2%21+%2A+3%21+%29+
C( 5,2 ) = +%28+5%2A4+%29+%2F+2+
C( 5,2 ) = +10+ combinations
----------------------------------
For each of these combinations, there are
P( 3,3 ) = +3%2A2%2A1+
P( 3,3 ) = +6+ permutations
---------------------------------
C( 5,2 ) * P( 3,3 ) = +10%2A6+
+10%2A6+=+60+
There are 60 different ways
------------------------------
Definitely get a 2nd opinion on this