AM28
23.07.2020 •
Mathematics
A committee consists of 8 men and 11 women. In how many ways can a subcommittee of 3 men and 5 women be chosen?
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Ответ:
25872 ways
Step-by-step explanation:
We're choosing 5 women from a group of 11 and 3 men from a group of 8. We don't care about what order they are picked and so we'll use the combination formula, which is:
n!/(k!)(n-k)! with n as population and k as picks.
We'll multiply the results together. (8! / (3!)(8-3)!) * (11! / (5!)(11-5)!)
That equals: (8! / (3!)(5!) ) * (11! / (5!)(6!)) = 40320/(6x120) * 39916800/ (120x720)
56 * 462 = 25872
Ответ:
To find the rate of change you find the difference in each of the numbers on the graph. For example, 36-32 is 4. So 28-4 is 24 and that would be the next number down. It would also match x to be 0 because since the rate of change for x was 5, if you subtract 5 from 5 you get 0. So from this we know that the coordinates would be 0,5.
From this info, the slope would be 4/5 and the y intercept or initial value would be 24