The general gist of the question:
Peter has to go to an office store, an electronics store, a clothing store, and a sporting store. There are 4 office stores, 4 electronic stores, 8 clothing stores and 5 sporting stores. How many combinations are there?
Do I need to do a factorial? Or just multiply the numbers?
Thanks!!!
just multiply the numbers
I don't think you just multiply the numbers for this one. If the question said that he was going to all 4 office stores, all 4 electronic stores, all 8 clothing stores, and all 5 sporting goods stores and asked how many ways can he do that, then you would multiply them all together. That is not what the question is asking however.
. Jim can fill a pool carrying buckets of water in 30 minutes. Courtney can do the same job in 45 minutes. Bob can do the same job in 1 ½ hours. How quickly can all three fill the pool together?
To find the total number of combinations, you need to find the product of the number of options for each type of store. In this case, you need to multiply the number of office stores, electronic stores, clothing stores, and sporting stores together.
The number of options for each type of store can be multiplied directly; you do not need to use factorials for this calculation.
In this scenario, there are 4 office stores, 4 electronic stores, 8 clothing stores, and 5 sporting stores. To find the total number of combinations, multiply these numbers together:
4 (office stores) x 4 (electronic stores) x 8 (clothing stores) x 5 (sporting stores) = 640.
Therefore, there are 640 different combinations possible when visiting one office store, one electronic store, one clothing store, and one sporting store.