For this example, we must combine not permutate; this because a salad in which you first use apple then tomato is the same as the one in which you use first tomato then apple, so order does not matter.
Me must do "10 combine 7" which is written by the binomial coefficient

; in general a binomial coefficient is written by:

In which

and

are positive integers, such that

.
So, for this problem:
Hence, there are 120 different ways to make the fruit salad.
Answer:
No solution
Step-by-step explanation:
24a-22= -4(1-6a)
24a-22= -4+24a
-24a -24a
0-22= -4
-22= -4
Set up a ratio of known to unknown:
Let X = the amount of gas needed for 500 miles:
220/12 = 500/x
Cross multiply:
220x = 6000
Divide both sides by 220:
X = 6000 / 220
x = 27.27 gallons (round answer as needed).
Step-by-step explanation:
x and y are roughly in a linear relationship.
when x increases by 2 units, then also y increases by more or less 2 units.
when x increases by 3 units, then also y increases by more or less 3 units.
it is not precise, but a good approximation model.
You will need 119 cups to sell all of the lemonade.
Step-by-step explanation:
Given,
Diameter of cups = 9 cm
Radius of cup = 
Height of cups = 12 cm
We will find volume of cup.

Putting all the values

Therefore;
Each cup can hold 254.34 cubed centimeter of lemonade.
Number of gallons = 8
1 gallon = 3785 cm³
8 gallons = 3785*8 = 30280 cm³
Let,
x = Number of cups
Volume of lemonade in one cup * Number of cups = Volume of 8 gallons
254.34x=30280
Dividing both sides by 254.34

Rounding off to nearest whole number
x = 119
You will need 119 cups to sell all of the lemonade.
Keywords: volume, division
Learn more about volume at:
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