Question

Four students are going to be selected to go on a trip out of 40 students. How many ways can the four students be chosen?

Answer 1

It is 10
How to solve :
40 students and 4 students so it means it is 10 because four times ten is equal to 40 so its 10


SOLUTION:
Hope it help;)

Answer 2

The number of ways to choose four students out of 40 is found using the combinations formula C(40, 4) = 40! / (4!(36)!), which equals 91,390 different combinations.

Step-by-step explanation:

Calculating Combinations

The question on how to select four students out of 40 for a trip involves calculating combinations, which is a concept in probability and combinatorics, both branches of mathematics. To determine the number of ways to choose four students from a group of 40, you will use the combinations formula, which is expressed as C(n, k) = n! / (k!(n-k)!), where n is the total number of items, k is the number of items to choose, and '!' denotes factorial.

Let's go through the calculation step-by-step:

1. First, calculate the factorial of the total number of students, which is 40!.
2. Next, calculate the factorial of the number of students to be chosen, which is 4!.
3. Then, calculate the factorial of the difference between the total number and the number to be chosen, which is (40-4)!.
4. Finally, divide the factorial of the total number by the product of the factorial of the number to be chosen and the factorial of the difference: C(40, 4) = 40! / (4!(40-4)!).

Use a calculator or software to find that C(40, 4) equals 91,390. Therefore, there are 91,390 different ways to choose four students from a group of 40.