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Question
Find the number of ways of distributing 12 distinct prizes to 10 students?
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Solution
To give the first prize we have to select, from the 10 students
Which can be done in 10 ways.
To give the second prize we have to select one from the 10 students
Which can be done in 10 ways.
To give the 12th prize we have to select one from 10 students
Which can be done in 10 ways.
So all the 12 prizes can be given in (10 × 10 × 10 …. 12 times) = 1012 ways
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