Question

In a group, each person has at most two A. No person has less than three G. Considering all the persons in the group there are more A than G, more than B and more B than persons. Find the minimum number of persons in the groups? 4 15 o 3 2​

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

There are a minimum of 3 people in the group.

Given:

Each person has at most two A.

A> G > B > the number of people.

To Find:

The minimum number of people in the group.

Solution:

Let x be the total number of persons in the group.

Since have to find the minimum number of people, x>0.

We have been  given that each person has at most two A.

So the total number of A can range from 0.

It is also given that A> G > B >x.

⇒ x < A

Now,

If A=0 ⇒ x=0, which is not possible.

If A=1 ⇒ G=0 ⇒ B=0 ⇒ x=0 which is not possible.

If A=2 ⇒ G=1 ⇒ B=0 ⇒ x=0 which is not possible.

If A=3⇒ G=2 ⇒ B=2 ⇒ x=0 which is not possible.

If A=4 ⇒ G=3 ⇒ B=2 ⇒ x=1 which is not possible as a person can have at most two A.

If A=5 ⇒ G=4 ⇒ B=3 ⇒ x=2 which is not possible as even if we assume that each person has taken two A, we would still be left with one A.

Now,

If A=6 ⇒ G=5 ⇒ B=4 ⇒ x=3

This is a valid situation as each person can be assumed to take two As.

Hence the least value of x=3.

∴ There are a minimum of 3 people in the group.

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