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  • In how many ways can 6 identical candies be distributed among 3 children, where each child can receive any number of candies?  Option: 1

In how many ways can 6 identical candies be distributed among 3 children, where each child can receive any number of candies?

 

Option: 1

28


Option: 2

15


Option: 3

9


Option: 4

6


Answers (1)

best_answer

Since the candies are identical, the distribution can be viewed as placing dividers among them. We need 2 dividers to separate the candies into 3 groups (for the children). The number of ways to arrange these dividers and candies is given by choosing the positions for the dividers among the 6+2 = 8 total positions (6 candies and 2 dividers). This can be calculated as   C(8,2)=\frac{8 !}{(2 ! \times(8-2) !)}=28

Posted by

Kuldeep Maurya

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