This is a problem dealing with permutations and combinations.
Order does not matter in this problem.
Since order doesn't matter, it is a combination.
Repetition matters, since you can't have the same person count as two people.
There are twelve slots.
_ _ _ _ _ _ _ _ _ _ _ _
Each slot needs to be multiplied by the next.
_*_*_*_*_*_*_*_*_*_*_*_
Now we have to fill in the slots.
Each slot will be filled with a number one less than the one before it. It has to be one less, since repetition matters.
The numbers will be decreasing from 30, since there are 30 possible people.
30 * 29 * 28 * 27 * 26 * 25 * 24 * 23 * 22 * 21 * 20 * 19
Multiply these numbers together and you get your answer.
41,430,393,164,160,000 ways
By using the second condition, we conclude that there are 23 white roses in the tray.
<h3>
How many white roses are in the tray?</h3>
First, we know that there are a total of 50 roses in the tray, and we have the conditions:
- <em>"There is at least 1 red rose among any 24 randomly selected roses"</em>
- <em>"There is at least 1 white rose among any 28 randomly selected roses".</em>
The second statement means that, always that we take 28 roses, at least one of them is white. So, there are 27 roses in the tray that are not white.
Whit that in mind, if the 28th rose must be white, then all the remaining roses in the tray are white, this means that there are:
50 - 27 = 23 white roses.
If you want to learn more about counting.
brainly.com/question/11732255
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Answer:
Number of years between 1950 and 2100 =
150 = 50 + 50 + 50 years.
So, total population in 2100 is 375,000,000.
