A group of 10 people is choosing a chairperson and vice-chairperson. They put all 10 people's...
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?
A. 19
B. 90
C. 100
D. 10! (10 factorial)
Homework Answers
Note in this case order of name matters.
Hence, we use permutation for this sum.
Arrangement of chair and vice chair's all possible combinations are 10P2=10!/(10-2)!=10!/8!=10×9=90
Ans) 90
Option b is correct.
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