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Six people apply for three identical jobs and all are qualified for the positions. Two will work in
New York and the other one will work in San Diego. How many ways can the positions be
filled?
Solution
There are 6C2 = 6!/(2!4!) = 15 ways to choose who goes to New York.
Then, there are 4 remaining to choose from who goes to San Diefo.
Hence, there are
4*15 = 60 ways [ANSWER]

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  • 1. Six people apply for three identical jobs and all are qualified for the positions. Two will work in New York and the other one will work in San Diego. How many ways can the positions be filled? Solution There are 6C2 = 6!/(2!4!) = 15 ways to choose who goes to New York. Then, there are 4 remaining to choose from who goes to San Diefo. Hence, there are 4*15 = 60 ways [ANSWER]