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dub7
06.11.2019 •
Mathematics
Afriend of mine is giving a dinner party. his current wine supply includes 8 bottles of zinfandel, 10 of merlot, and 9 of cabernet, all from different wineries. if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety?
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Ответ:
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
Ответ:
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