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There are 8 students in a small class. To make a team, the names of the 2 of them will be drawn from a hat. How many different teams of 2 students are

User Suleidy
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2 Answers

6 votes
The first name can be any one of the 8.
For each of those . . .
The second name can be any one of the remaining 7.

Total number of ways that 2 names can be drawn = (8 x 7) = 56 .

But . . .

Each team can be drawn in two different ways . . .
-- Smith first, then Cohen
-- Cohen first, then Smith.

So, among the 56 ways to draw 2 names, you will find
each possible pair of names drawn twice, in the opposite
order.

The number of different 2-member teams is (56 / 2) = 28 .
User Knalj
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7.9k points
3 votes
use slot method
2 slots

8 choices for first slot
7 choices for second (since 1 is in 1st slot)
8 times 7=56

56 ways to make 2 person teams
User Jebastin J
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