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Probability
A contest consists of finding all of the code words that can be formed from the letters in the name "ATARI". Assume that the letter A can be used twice, but the others at most once.
a. How many five-letter words can be formed? b. How many two-letter words can be formed? c. How many words can be formed? Answers a. 60 b. 13 c. 170 Can anyone explain how to get these answers? |
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If among n things, r1 are identical, and the rest are distinct,
If among n things, r1 are identical, and the rest are distinct, the number of permutations is n! / [(r1)! ]
a. Five letter words: = 5! / [2! ] = 60 You should be able to do the rest yourself. |
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