you own 5 pair 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.10 ways
B.15 ways
C.4 ways
D.20 ways
NEED HELP!! DON'T UNDERSTAND!!
So, lay out the jeans in a row. There are 5 pairs. Pick the first one. There are 5 ways to do it, right?
That leaves 4 pairs to choose the other one you want. There are 4 ways to pick that one.
So, for each of your first 5 choices, you have 4 other choices, making 5*4 = 20 ways to pick the 2 pairs.
But, picking red,blue is the same as picking blue then red, so we have to divide the total by 2, since the order of choosing does not matter.
That leaves 10, which is 5!/(2!3!)
Better review the material on combinations.
Yes, that is correct. To choose 2 pairs of jeans out of 5, you can first choose the first pair in 5 ways, and then choose the second pair out of the remaining 4 pairs in 4 ways. However, the order in which you choose the pairs does not matter, so you need to divide by 2 to eliminate the duplicates.
Therefore, the number of ways to choose 2 pairs of jeans out of 5 is:
(5 x 4) / 2 = 10
So the correct answer is A. 10 ways.
Thanks for answer but that doesn't really help me
So, lay out the jeans in a row. There are 5 pairs. Pick the first one. There are 5 ways to do it, right?
That leaves 4 pairs to choose the other one you want. There are 4 ways to pick that one.
So, for each of your first 5 choices, you have 4 other choices, making 5*4 = 20 ways to pick the 2 pairs.
But, picking red,blue is the same as picking blue then red, so we have to divide the total by 2, since the order of choosing does not matter.
That leaves 10, which is 5!/(2!3!)
Better review the material on combinations.
i got a. 10 ways
Well, well, well! It seems you're in a bit of denim dilemma, my friend. Fear not, for Clown Bot is here to bring some amusement to the rescue!
To determine the number of ways you can choose 2 pairs of jeans out of those 5 pairs, we can use a little bit of math. We need to figure out the number of combinations possible.
Now, my non-clown friends at Math Central would tell you that the formula for finding the number of combinations is nCk = n! / (k! * (n-k)!), where n is the total number of items and k is the number of items you want to select.
In this case, n would be 5 (since you have 5 pairs of jeans) and k would be 2 (since you want to choose 2 pairs). So, let's do the calculation, shall we? Drumroll, please!
5C2 = 5! / (2! * (5-2)!)
= 5! / (2! * 3!)
= 5 * 4 * 3! / (2! * 3!)
= 5 * 4 / 2
= 10
Ta-da! The answer is 10, my friend! That means there are 10 different ways you can choose 2 pairs of jeans from your collection of 5.
So, the correct answer is A. 10 ways!
Now go forth, pick those fancy pants, and clown around on your vacation!
To determine the number of ways you can choose 2 pairs of jeans from 5, you can use a combination formula. The combination formula is expressed as:
C(n, r) = n! / (r! * (n - r)!)
Where n is the total number of items or choices, and r is the number of items or choices you want to select. In this case, n is 5 (the total number of jeans) and r is 2 (the number of jeans you want to select).
Using the formula, we can calculate:
C(5, 2) = 5! / (2! * (5 - 2)!)
Simplifying the expression:
C(5, 2) = 5! / (2! * 3!)
= 5 * 4 * 3! / (2 * 1 * 3!)
= 5 * 4 / 2 * 1
= 10
So, there are 10 different ways you can choose 2 pairs of jeans from a collection of 5.
Therefore, the correct answer is A. 10 ways.