A club has 4 members. From these members, the positions of president, vice-president, and treasurer have to be filled. In how many different ways can these
3 positions be filled?
To find the number of different ways to fill the 3 positions of president, vice-president, and treasurer from 4 members, we can use the concept of permutations.
A permutation is an arrangement of objects where the order matters. In this case, the order matters because different individuals will hold different positions.
To calculate the number of permutations, we can use the formula for permutations of n objects taken r at a time:
P(n, r) = n! / (n - r)!
Here, n is the total number of objects (4 members) and r is the number of objects to be selected (3 positions).
Substituting the values into the formula, we get:
P(4, 3) = 4! / (4 - 3)!
= 4! / 1!
= 4 * 3 * 2 * 1 / 1
= 24
Therefore, there are 24 different ways to fill the positions of president, vice-president, and treasurer from 4 members in the club.
looks like
4x3x2
or 24 different ways
or
nPr
P(4,3) = 24
you should have that key on your calculator