In a club of 5 people how many ways can a president and trea

In a club of 5 people, how many ways can a president and treasurer be chosen if a person can\'t hold more than 1 office?

Solution

since person cant hold more than one option

ways of choosing for president and treasurer from club of 5 = 5C ₁* 4C₁ =5*4=20

here first a candidate for president is choosen by 5C₁ and then treasurer is choosen from the remaining 4