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  • In a garden, there are 6 different types of flowers, and there are 4 friends. Each friend can pick any number of flowers, including none. How many ways are there to distribute the flower

In a garden, there are 6 different types of flowers, and there are 4 friends. Each friend can pick any number of flowers, including none. How many ways are there to distribute the flowers among the friends?

Option: 1

1296


Option: 2

4096


Option: 3

2187


Option: 4

5136


Answers (1)

best_answer

To solve this problem, we can think of distributing the 6 different types of flowers among the 4 friends by placing the flowers into 4 distinct boxes, where each box represents a friend. 

Since each friend can pick any number of flowers, there are no restrictions on how many flowers each friend can have.

For each flower, there are 4 choices of which friend to give it to. Since there are 6 flowers to distribute independently, we multiply the number of choices for each flower together.

Therefore, the total number of ways to distribute the 6 different types of flowers among the 4 friends is given by,

\begin{aligned} & 4^6=4 \times 4 \times 4 \times 4 \times 4 \times 4 \\ & 4^6=4096 \mid \end{aligned}

Hence, there are 4,096 ways to distribute the 6 different types of flowers among the 4 friends.

Posted by

Ritika Jonwal

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