Question

In: Statistics and Probability

How many different ways are there to distribute 7 similar flowers to 3 different people. Explain...

How many different ways are there to distribute 7 similar flowers to 3 different people. Explain your answer.

Solutions

Expert Solution

Total number of different ways to distribute 7 similar flowers to 3 different people is explained as follows:

First flower is distributed to any one of the 3 people that is to either 1st person or 2nd person or 3rd peerson in 3 total ways.

Similarly,

the second flower is distributed to any one of the above3 people that is to either 1st person or 2nd person or 3rd peerson in 3 total ways.

the third flower is distributed to any one of the above3 people that is to either 1st person or 2nd person or 3rd peerson in 3 total ways.

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the seventh third flower is distributed to any one of the above3 people that is to either 1st person or 2nd person or 3rd peerson in 3 total ways.

Then the totoal number of ways is 3x3x3x3x3x3x3=37=2187 ways.

Hence, the total number of different ways to distribute 7 similar flowers to 3 different people is 37=2187 ways.


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