A person wishes to make up as many different parties as he can out of 20 friends with the condition that each party consists of the same number. How many should he invite at a time?

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
10

Since, n = 20 is even, $20_{C_{r}}$ is greatest when $r = \frac{20}{2} = 10$ .
Hence, the maximum number of parties $20_{C_{10}}$ .
Thus he should invite 10 friends at a time in order to form the maximum number of parties.

Suggest Corrections

Similar questions

A person wishes to make up as many different parties as he can out of 20 friends with the condition that each party consists of the same number. How many should he invite at a time?

Q. 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 ?

Q. A person wishes to make up as many different parties as he can out 20 friends, each party consisting of the same number. How many should he invite at a time? In how many of these would the same man be found?

Q. A person tries to form as many different parties as he can, out of his

20

friends. Each party should consist of the same number. How many friends should be invited at a time? In how many of these parties would the same friends be found?

Q. A person tries to form as many different parties as he can, out of his 20 friends. In how many of these parties would the same friends be found?

Join BYJU'S Learning Program

A person wishes to make up as many different parties as he can out of 20 friends with the condition that each party consists of the same number. How many should he invite at a time?

The correct option is B 10 Since, n = 20 is even, 20Cr is greatest when r=202=10. Hence, the maximum number of parties 20C10. Thus he should invite 10 friends at a time in order to form the maximum number of parties.

The correct option is B
10

Since, n = 20 is even, $20_{C_{r}}$ is greatest when $r = \frac{20}{2} = 10$ .
Hence, the maximum number of parties $20_{C_{10}}$ .
Thus he should invite 10 friends at a time in order to form the maximum number of parties.