Question

I really need this ASAP. There are 25 students in a class. How many ways can the teacher (randomly) pick two students for the lead roles in the class play?

Answer 1

There are 300 different ways a teacher can pick two students for the lead roles in a class play from a class of 25 students, using the combination formula.

Step-by-step explanation:

The student has asked how many ways the teacher can pick two students for the lead roles in the class play from a class of 25 students. To find the number of ways, we use the combination formula which is denoted as C(n, k), where n is the total number of students and k is the number of students we want to pick. Since the order in which we pick the students does not matter, we use the combination formula rather than the permutation formula.

The formula for a combination is C(n, k) = n! / (k! * (n - k)!), where '!' represents the factorial of a number. Applying this to the given problem:

• Total number of students (n) = 25
• Number of students to pick (k) = 2

We calculate 25! / (2! * (25 - 2)!), which simplifies to:

25! / (2! * 23!) = (25 * 24) / (2 * 1) = 25 * 12 = 300 combinations.

Therefore, there are 300 different ways the teacher can randomly pick two students for the lead roles in the class play.

Answer 2

Answer: 300 ways

Step-by-step explanation:

We have to calculate each pair of students. You do this by multiplying 25*24 and then dividing it by 2 because then you would count them 2 times. After solving, you get 300 ways. ( It is correct because I entered it. ).