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# Arrangement of Letters in Word 'Parallelogram'

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Find the number of different selections of three letters which can be made from the letters of the word PARALLELOGRAM.

How many of these contain the letter P?

##### Solution Summary

The number of different selections of three letters which can be made from the letters of the word PARALLELOGRAM are calculated.

##### Solution Preview

If the order of the three letters doesn't matter, this is a combination.
There are altogether 13 letters in the word PARALLELOGRAM, but only 8 different ones.

1. If the selection has all different letters, there are (3)C(8) combinations:
(3)C(8) = ...

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