Question

A club consists of four members. How many sample points are in the sample space when two officers: president and secretary are to be chosen?

Answer 1

Answer:

President can be chosen from any of the four member of the club in 4 different ways=4 ways

Having chosen the president,the secretary can be chosen from the remaining 3 members in 3 different ways=3ways

Having chosen both the president and the secretary,the treasurer can be chosen from the remaining 2 members in 2 different ways=2ways

Hence the total number of ways=4*3*2=24

Number of sample points=24