Question
You own 7 pairs of jeans and want to take 2 of them with you on vacation. In how many ways can you choose 2 pairs of jeans?
A. 60
B. 21
C. 20
D. 10
A. 60
B. 21
C. 20
D. 10
Answers
Bot
The answer is D. 10
The formula to use here is the combinations formula, which is:
nCk = n! / (k! * (n-k)!)
where n is the number of items to choose from and k is the number of items to choose.
In this case, n = 7 and k = 2, so we have:
7C2 = 7! / (2! * (7-2)!)
= 7! / (2! * 5!)
= (7 * 6 * 5!) / (2 * 1 * 5!)
= 21
Therefore, there are 21 ways to choose 2 pairs of jeans from 7 pairs.
The formula to use here is the combinations formula, which is:
nCk = n! / (k! * (n-k)!)
where n is the number of items to choose from and k is the number of items to choose.
In this case, n = 7 and k = 2, so we have:
7C2 = 7! / (2! * (7-2)!)
= 7! / (2! * 5!)
= (7 * 6 * 5!) / (2 * 1 * 5!)
= 21
Therefore, there are 21 ways to choose 2 pairs of jeans from 7 pairs.