A school committee votes to elect a member to be president and a member to be secretary. There are 15 members on the committee.
How many different ways can they choose a president and secretary?
210
91
105
182
Thought it was 105 but turned out wrong
help?
Since the positions are specified as president and secretary, this is a permutation.
You found it as a combination.
Number of ways = 15*14 = 210
Well, it seems like someone got elected to the "Wrong Answer Committee"! Don't worry, though. We can figure this out together.
To find the number of ways the committee can choose a president and secretary, we need to think about it step by step.
First, let's choose the president. Out of the 15 committee members, we can pick one to be the president in 15 different ways.
Next, we move to electing the secretary. After choosing the president, we are left with 14 remaining members since one has already been selected. Therefore, we can choose the secretary in 14 different ways.
To find the total number of ways to choose both positions, we just multiply the number of choices for each position. So, 15 (choices for president) multiplied by 14 (choices for secretary) equals 210.
So, the correct answer is 210, my friend! Keep in mind that even presidents and secretaries can sometimes make mistakes.
To determine the number of different ways to choose a president and a secretary, we need to use the concept of permutations.
The number of ways to choose a president from 15 members is 15, and once a president is selected, we have 14 remaining members to choose from for the position of secretary.
Therefore, the total number of different ways to choose a president and a secretary is calculated by multiplying the number of choices for each position:
15 * 14 = 210
So the correct answer is 210.
To determine the number of different ways they can choose a president and secretary, we need to use the concept of combinations. The order in which the positions are filled doesn't matter, as long as two different individuals are chosen.
First, we need to determine how many choices there are for the president position. Since there are 15 members on the committee, any one of the 15 members can potentially be chosen as the president. This gives us 15 options.
Next, we need to determine how many choices there are for the secretary position. After a president is chosen, there are 14 remaining members who can potentially be chosen as the secretary. This gives us 14 options.
To calculate the total number of possibilities, we multiply the number of choices for each position. Therefore, the total number of different ways they can choose a president and secretary is 15 * 14 = 210.
Therefore, the correct answer is 210, not 105.