SOLUTION: Eight prizes are to be given to eight different people in a group of fourteen. In how many ways can a first prize, a second prize, a third prize and five fourth prizes be given?
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Question 1124947: Eight prizes are to be given to eight different people in a group of fourteen. In how many ways can a first prize, a second prize, a third prize and five fourth prizes be given?
There are 14 ways to select the first person for the first prize.
There are 13 ways to select the second person from 13 remaining for the second prize.
There are 12 ways to select the third person from 12 remaining for the third prize.
There are ways to select the group of 5 persons for fourth prizes .
In all, there are 13*12*11* ways to do it.
Since you were given this problem to solve, I hope you know without my explanations what the symbol is and how to calculate it.