Answer :
This problem can be simply solved by calculating for the
product of each combination of each wine. There are 8C2 ways to pick from 8
bottles of zinfandel, 10C2 ways to pick from merlot and 10C9 ways to pick from
cabernet.
Total number of ways = 8C2 * 10C2 * 9C2
Total number of ways = 45,360
For this problem, we use the formula for combination. When the notation is written as nCr, that is equivalent to the equation below:
nCr = n!/r!(n-r)!
where
n is the total number of objects
r is the number of one type of object
Using the fundamental counting principle, we multiple each nCr equation for each type of bottle. The solution is:
Number of ways = 8C2×10C2×9C2 = 45,360 ways
nCr = n!/r!(n-r)!
where
n is the total number of objects
r is the number of one type of object
Using the fundamental counting principle, we multiple each nCr equation for each type of bottle. The solution is:
Number of ways = 8C2×10C2×9C2 = 45,360 ways
