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Arrangement of Letters in Word 'Parallelogram'

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 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) = ...

Solution Summary

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

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