Answer:
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)
Answer:
180
Step-by-step explanation:
We are going to solve for the individual offices.
For president,there are 5 candidates. The number of ways of choosing one candidate is
5!(1!/4!).What 5! means is 5×4×3×2×1 and the sample applies for 1! and 4!
Solving for the presidential candidate, we have 5!(1!/4!)= 5×4×3×2×1=120 divided by
4×3×2×1=24 which then equals 5.
Follow the same procedure for the other offices.
For vice president, there are 6 candidates.The number of ways of choosing one candidate is
6!(1!/5!)
For secretary,there are 2 candidates.The number of ways of choosing one candidate is
2!(1!/1!)
And for treasurer, the number of ways of choosing a candidate is
3!(1!/2!)
At the end of the day,we have 5,6,2 and 3 respectively.
Multiply them all and we have 180 ways
