How many different ways can the students at a school select the president, vice president, and secretary from a group of 5 people?
A. 120
B. 60
C. 20
D. 15
my answer D
please correct me right or wrong
No. 5P3 = 5*4*3 = 60
Yay! Thank you for answering, and not ignoring! Blessing to you.
Well, you might say that there are 5 different ways to choose the president (since there are 5 people to choose from). After the president is chosen, there are only 4 people left, so there would be 4 different ways to choose the vice president. Finally, after the president and vice president are chosen, there would be 3 people left to choose from for secretary. So, combining all of these possibilities, there would be 5 * 4 * 3 = 60 different ways to select the president, vice president, and secretary from a group of 5 people. Looks like B is the correct answer!
You are incorrect. The correct answer is A.
To determine the number of different ways the students can select the president, vice president, and secretary, we need to use the concept of permutations.
Since the positions of president, vice president, and secretary are distinct, we need to calculate the number of permutations of 5 objects taken 3 at a time.
The formula to calculate permutations is nPr = n! / (n-r)!, where n is the total number of objects and r is the number of objects taken at a time.
In this case, n = 5 (the number of students) and r = 3 (the number of positions to be filled).
So, the number of different ways the students can select the president, vice president, and secretary is 5P3 = 5! / (5-3)! = 5! / 2! = (5 × 4 × 3) / (2 × 1) = 60.
Therefore, the correct answer is B. 60.
Your answer is incorrect. Let me explain how to solve this problem.
To find the number of different ways the students can select the president, vice president, and secretary, we can use the concept of permutations.
A permutation is an arrangement of objects in a specific order. In this case, we have a group of 5 people to choose from, and we need to select 3 of them for different positions.
To calculate the number of permutations, we can use the formula:
P(n,r) = n! / (n-r)!
where P(n,r) represents the number of permutations possible when choosing r objects from a group of n objects, and the exclamation mark (!) denotes the factorial of a number.
In this case, n = 5 (total number of people) and r = 3 (positions to be filled - president, vice president, and secretary).
Plugging these values into the formula, we get:
P(5,3) = 5! / (5-3)!
= 5! / 2!
= 5 x 4 x 3 x 2 x 1 / 2 x 1
= 120 / 2
= 60
Therefore, there are 60 different ways the students can select the president, vice president, and secretary from a group of 5 people.
The correct answer is B. 60.