Question

How many ways are there to elect a president, Vice President, secretary, and treasurer, from a club with 32 members?

Answer 1

Answer: There are 863,040 possible ways

Step-by-step explanation: There are 32 members altogether in the club. So in order to elect a president from among all of them, if every one of them has a chance if being elected, there would be 32 possible chances for every single club member.

However, as long as one member has been elected as president, that leaves others with a 31 chance per person arrangement.

Therefore, all possible permutations of electing four officers from a club of 32 members can be expressed as

32! (Thirty two factorial) which can be simplified as

32 x 31 x 30 x 29 and that equals 863,040.

863,040 possible ways of electing four officers from a club of 32 members.