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
Answer:
i) 25
ii) 30:70; 30 out of 70 pencils will be blue.
Step-by-step explanation:
i) 70 - (15+30)= 25 other colors in the bag.
ii) 30:70
Answer:
x=30. y=60
Step-by-step explanation:
DG is a straight segment so it sums to 180 degrees. ECG is a right angle so 90 degrees. The rest is described as 2x and x. So 3x=90 degrees. x=30. Eh is also a straight segment. since we know x, we know that ECD is 60 degrees. So y+y=120 degrees. 2y=120. y=60.
Answer: The greatest depth of the Southern Ocean is 7.24
Step-by-step explanation:
So, if you add all the greatest depths up, you get 33.23
(33.23 + x)/5 = 8.094
Multiply each side by 5
33.23 + x = 40.47
Subtract 33.23 from each side
x = 7.24
You can check this by adding all the numbers up and dividing them by 5
40.47/5 = 8.094
