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Suppose you go to a conference attended by 20 Canadians and 20 Americans. How many people must you meet to be certain that you have met two Americans?

Sagot :

There are 20 Canadians and 20 Americans at the conference.

we met the first person may be Canadian or American

Case 1:

If the first person is Canadian

We meet the second person

The second person also maybe Canadian or American

If all the first 20 peoples are Canadian

The next two people should be American

Hence we should meet a minimum of 22 people.

Case 2:

If the first person is American

We meet the second person

The second person also maybe Canadian or American

If all the next 20 peoples are Canadian

Then the 22nd people should be American

Hence we should meet a minimum of 22 people.

Case 3:

If the first person is American

We meet the second person

The second person also maybe Canadian or American

If the second people is also American

Hence we met 2 Americans in two attempts.

Result:

We need to meet 22 people to meet two americans.

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