Answer:
3876
Step-by-step explanation:
Given the following :
Fraternity members = 20
They are to attend 5 different parties in groups of 4
Meaning a group = 4 persons
Atleast one brother will attend exactly one of the parties. (the brothers are indistinguishable).
Then, exactly one brother at a party (20 - 1) = 19, since they are indistinguishable.
Group members are in 4's
19C4
From: nCr = n! /(n-r)! r!
19C4 = 19! / (19 - 4)! 4!
= 19! / 15! 4!
= (19 * 18 * 17 * 16) / (4 * 3 * 2)
= 93024 / 24
= 3876
There are 44 total small egg cartons, 264 / 6 = 44
There are 176 total medium egg cartons, (264 / 3) x 2 = 176
There are 44 total big egg cartons, 176 + 44 = 220
264 - 220 = 44
<u>Note: (So you don't get confused) Above is just the number of egg cartons, below is the number of eggs.</u>
There is a total of 352 eggs in the small egg cartons, 44 x 8 = 352
There is a total of 2112 eggs in the medium egg cartons, 176 x 12 = 2112
There is a total of 792 eggs in the large egg cartons, 44 x 18 = 792
Hope this Helps! :)
Answer:
the maximum value is 3
Step-by-step explanation:
The maximum value of the function y = -2+5sin(pi/12(x-2)) is determined by taking the first derivative of the function. The first derivative is equal ( 5 pi/ 12 )* sin ((pi/12) (x-2)) = 0. x is equal to 4472 through the calculator. Substituting to the original equation, the maximum value is 3.
Answer:
c
Step-by-step explanation:
V=LWH
cube
V=L^3
if it is doubled, then each dimention (LWH) is dobubled
since L=W=H
V=(2L)^3
V=8L^3
compared to orignal
L^3 vs 8L^3 it is 8 times more
demonstarte
10^3=1000
5^3=125
1000/125=8, not 2
