A person wishes to make up as many different parties as he can out of his 20 friends such that each party consists of the same number of persons. How many friends should he invite?
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6
the answer wouldbe 20
Answered by
15
We will suppose the person invites n friends
So the total number of parties would be equal to 20 C base n
The maximum value would be 20 C base n
Here n would be equal to 10 and if m is even then we will get this equation:
m C base x
it is maximum when x = m/2
So the person should at least invite 10 friends so that he can have the maximum number of parties.
If there is any confusion please leave a comment below.
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