Question

A president and vice president will

be selected from 8 members of a
club. In how many ways can these
officers be selected?
A.8
B.28
C.56
D.64

Answer 1

The president and vice president can be selected from 8 members of a club in 56 different ways using the combination formula.

Step-by-step explanation:

To select a president and vice president from 8 members of a club, we can use a combination formula. The formula to calculate the number of ways to select 'r' objects from a set of 'n' objects is C(n,r) = n!/(r!(n-r)!).

In this case, we want to select 2 officers from a total of 8 members, so n=8 and r=2. Plugging these values into the combination formula:

C(8,2) = 8!/(2!(8-2)!)

C(8,2) = (8*7)/(2*1)

C(8,2) = 56

Therefore, the officers can be selected in 56 different ways.