How many 2-letter code words can be formed from the first 3 letters of the alphabet if no letter can be used more than once?

kuCAu

kuCAu

Answered question

2021-06-23

How many 2-letter code words can be formed from the first 3 letters of the alphabet if no letter can be used more than once?

Answer & Explanation

FieniChoonin

FieniChoonin

Skilled2021-06-24Added 102 answers

Fundamental counting principle: If the first event could occur in m ways and the second event could occur in n ways, then the number of ways that the two events could occur in sequence is mn.
We only use the first 3 letters from the alphabet: a, b, c
First letter: 3 ways Second letter: 2 ways (as no letter is used more than once)
By the fundamental counting principle: 32=6
Thus there are 6 2-letter code words that can be formed from the first three letters in the alphabet such that no letter is used more than once.

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