Two people must be chosen from 8 participants for a team, with no difference between their roles. How many choices are possible?
Show hints
- First count an ordered choice of two participants.
- Divide 8 × 7 by 2 because order does not matter.
Show the answer and solution
Answer: 28
The first person can be chosen in 8 ways and the second in 7 ways, but each pair is counted twice. Thus, 8 × 7 ÷ 2 = 28.