Caterpillars
Probability
Level
2
How many different letter arrangements can be made using all the letters in the word CATERPILLARS?
The answer is 59875200.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
We could arrange the 12 letters of the word CATERPILLARS 12! ways if all its letters would be different.
However, since we have three pairs of identical letters (2 As, 2 Rs and 2 Ls), the the number of different arrangements is:
2 ! × 2 ! × 2 ! 1 2 ! = 5 9 8 7 5 2 0 0