The math club is electing new officers. There are 5 candidates for president, 6 candidates for vice-president, 2 candidates for secretary, and 3 candidates for treasurer. How many different combinations of officers are possible?

180 different combinations

Step-by-step explanation:

To find the number of different combinations possible, We first find the number of possibilities for each place, and then multiply all possibilities.

Number of possibilities for president: 5

Number of possibilities for vice-president: 6

Number of possibilities for secretary: 2

Number of possibilities for treasurer: 3

Number of different combinations: 5*6*2*3 = 180

(We can form 180 different groups of 1 president, 1 vice-president, 1 secretary and 1 treasurer)

step-by-step explanation: