Q. A friend has 50 different candies who wants to give them away. Answer the following:
a) how many ways are there if he decides to give them all away to 5 friends, so each gets the same number of candies?
b) if instead, he keeps 5 candies, then give away 10 to his siblings, then give out the rest equally to his 5 friends?
Answer: A friend has 50 different candies who wants to give them away. Answer the following:
a) how many ways are there if he decides to give them all away to 5 friends, so each gets the same number of candies?
. A friend has 50 different candies, he decides to give them all away to 5 friends, so each gets the same number of candies i.e. 10
No. of ways = (50! / 10!^5 * 5!) * 5!
No. of ways = 50! / 10!
No. of ways = 4.8335 * 10^31
b) if instead, he keeps 5 candies, then give away 10 to his siblings, then give out the rest equally to his 5 friends?
he keeps 5 candies, then give away 10 to his siblings, then give out the rest equally to his 5 friends.
i.e 35 candies out of 50 distributed to his 5 friends.
No. of ways = 50! / 15! * 7!^5
No. of ways = 7.1519 * 10^33
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