Question

A book club has 10 members.How many ways can they choose a president, vice president, and secretary from among the members?

Answer 1

        A.
30

B.
120

C.
720

D.
100                                                                                                                                                                                                                                                                720 possible combinations if each post is held by one person.
90 possible combinations if one person can have two positions.
10 possible combinations if one person can hold all three.

Answer 2

Assuming that each person holds 1 positiion

slot metho
3 slots (pres, vice, sec)
1st slot:10 optoins
2nd slot:9 ooptions(1 gone to 1st slot)
3rd slot:8 options (1 gone to 1st and 1 to 2nd)

multiply
10*9*8=720

720 ways