how many outfits can be made from 5 shirts, 6 slacks, 7 ties?
I never understand how to do this type of problem.
5x6x7=210 outfits
think of it this way:
You have 5 shirts, so there would be 5 ways to choose a shirt.
Now for each of those ways there would be 6 ways to pick a pair of pants.
sofar we would have
S1P1,S1P2,..,S1P6,S2P1,S2P2,...,S2P6,..S5P1,...S5P6
Wouldn't that be 30 ways for the shirts and pants? (or 5*6)
Now for each of the 30 ways above you could pick 7 different ties.
So that is why we have 5*6*7 or 210 like Freddy told you.
Could you tell me how many ways there would be to pick an outfit if to wear no tie would be an additonal option?
What we have here is a question from Statistics called Permutations.
A permutation is an ordered arrangement of r objects chosen from n objects.
Solution:
5 shirts x 6 slacks x 7 ties = 210 outfits can be made.
Oh,I get it
To find the number of outfits that can be made from a given number of shirts, slacks, and ties, you need to multiply the number of options for each item together.
In this case, you have 5 shirts, 6 slacks, and 7 ties. To calculate the total number of outfits, you can use the multiplication principle:
Total number of outfits = Number of shirt options * Number of slack options * Number of tie options
Therefore, the number of outfits can be found using the following calculation:
Total number of outfits = 5 shirts * 6 slacks * 7 ties
By multiplying these values together, you'll get the total number of unique outfits that can be made from the given options.
Total number of outfits = 5 * 6 * 7 = 210 outfits
So, there are a total of 210 outfits that can be made from the 5 shirts, 6 slacks, and 7 ties.