An organization has 20 members. How many ways are there to choose a president, vice president, secretary, and treasurer of the club?

Answer 1

20x19x18

= 6,840

if there were 3 people

there would be 3x2x1 = 6 ways

ABC, ACB, BAC, BCA, CAB, or CBA

if there were 4 people, there would be 4x3x2 ways = 24 ways

ABCD where first 3 letters are the pres, veep and treasurer

ABDC

ACBD

ACDB

ADBC

ADCB 6 ways with A, another 6 starting with A, another 6 starting with B, another 6 for C, & 6 for D

total ways 24

if there were 20 people

it's 20x19x18 ways