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Question
In how many ways 10 pigeons can be placed in 3 different pigeon holes?
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Solution
First pigeons can be placed in a pigeon-hole in 3 ways (selecting 1 from 3 holes)
Second pigeons can be placed in a pigeon-hole in 3 ways
Tenth pigeons can be placed in a pigeon-hole in 3 ways
So total number of ways in which all the number 10 place can be sent
= 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3
= 310 ways
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