Let L, H, W be the length, height, and width.
Using the 3 clues they gave us, we have:
L x W = 12
L x H = 8
W x H = 6
Our goal is to figure out volume: L x W x H
One way of solving this is to just randomly plug in numbers which should be easy to do for this problem.
Another way is to use substitution.
From first equation: L = 12/W
Plug that into second equation:
12/W x H = 8,
H = (8/12)W = (2/3)W
Plug that into the third equation:
W x (2/3)W = 6,
W x W = 9
W must be equal to 3.
And since we know that L x H = 8
Then L x H x W = (8) x 3 = 24 cm^3
11 nCr 3 plugged in a calculator will equal 165 Combinations/Positions
Answer: Each dozen of chocolate chip cookies costs $1.50/dozen. So if you sell C dozens of them, you win C*$1.50 dollars, where C is a positive integer number. Similar case for the lemon ones, the baker will win L*$1.00 dollars if he sells L dozens of them ( where L is a positive integer), the total charge is the sum of both parts; T = L*$1.00 + C*$1.50.
4^4 * 4^(-9) = 4^(4-9) = 4^(-5) or 1/(4^5)