how many ways can you choose 3 dishes from a menu of 8?
my answer is 56
Correct
To calculate the number of ways to choose 3 dishes from a menu of 8, you can use the combination formula. The formula for combinations is nCr = n! / (r! * (n-r)!), where n is the total number of items and r is the number of items you want to choose.
Using this formula, the number of ways to choose 3 dishes from a menu of 8 would be:
8C3 = 8! / (3! * (8-3)!) = 8! / (3! * 5!) = (8 * 7 * 6) / (3 * 2 * 1) = 56
So, you are correct that there are 56 ways to choose 3 dishes from a menu of 8.
To find the number of ways you can choose 3 dishes from a menu of 8, you can use the combination formula. The formula to find the number of combinations (nCr) is:
nCr = n! / (r! * (n - r)!)
Where n is the total number of items to choose from (in this case, the total number of dishes on the menu), and r is the number of items you want to choose (in this case, 3 dishes).
Plugging in the values:
n = 8
r = 3
we have:
8C3 = 8! / (3! * (8 - 3)!)
Calculating this:
8C3 = 8! / (3! * 5!)
8C3 = (8 * 7 * 6 * 5!) / (3! * 5!)
8C3 = (8 * 7 * 6) / (3 * 2 * 1)
8C3 = 56
So, you are correct. There are 56 ways to choose 3 dishes from a menu of 8.