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Answer: Permutation is involved , since order of prizes matters.
The number of different ways the prizes can be awarded =95060
Step-by-step explanation:
Given : Total number of people purchase lottery tickets =100
The number of prizes = 3
Since each prize can be claimed by only one person.
So order matters here, there for we use permutations .
The number of permutations of n objects taken m at a time is given by :-
Then, the number of different ways the prizes can be awarded :-
Answer:
Step-by-step explanation:
To find the inverse, you replace the x with y, and y with x.
[add 5 on both sides]
[divide both sides by 11]
Answer: 4410
Step-by-step explanation:
To find the area of a square or rectangle, all you need to do is multiply the length times the width:
L × W = A
The lengh is 100, and the width is 50
100 × 50 = 5000
However, in this problem, we also have other shapes in the rectangle. To find the area of JUST the green, we need to subtract the areas of the two circles and small blue rectangle.
First, let's get the two circles over with. To find the area of a circle, use this formula:
A = π r is the radius, which in this case, is 6
A = π
A = 113 This isn't the exact answer, the exact answer would be 113.0973...
Now let's multiply the area of one of those circles by 2, since we have 2 circles:
113 × 2 = 226
Finally, we have to find the area of the blue rectangle. This is simple, just use the formula from the very beginning:
26 × 14 = 364
The last thing to do is to subtract the areas of the two circles and blue rectangle from the area of the entire thing:
5000 - (226 + 364) = 4410