Question

A group of 10 people is choosing a chairperson and vice-chairperson. They put all 10 people's names into a hat. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and vice-chair are there?

Answer 1

Answer:

45

Step-by-step explanation:

$_{10} C_{2}$ = (10!) ÷(8!) (10-8)!

(10 × 9)÷2 = 45

Answer 2

Answer: 100

Step-by-step explanation:

10 people

2 chairs 1 chair 1 vice chair

10*10=100 different combinations