You pick 6 digits (0-9) at random without replacement, and write them in the order picked. What is the probability that you have
1 answer:
Answer:
1/151200
Step-by-step explanation:
The number of ways to pick an exact order of any 6 different numbers from 10
=
= 10×9×8×7×6×5 = 151200 ways
which means the first one can be any of 10 numbers
The second one can be any of 9 numbers
The 3rd one can be any of 8 numbers and so on
Now the 6th one can be any of 5 numbers
Thus there are 10×9×8×7×6×5 = 151200 ways to choose the number
so the required probability is 1/151200
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Answer: Option C - Construction Y because point E is the circumcentre of triangle LMN.
Point E is the best location for the warehouse as it is exactly equidistant from the three stores at L, M and N.
Step-by-step explanation:
Before solving an algebra problem, it sometimes helps to get a geometric picture of what's happening. Geometry says that three points determine a circle - in other words, given three points that are not
all on the same line, there is exactly one circle which passes through all 3. Finding the point equidistant from the 3 points is the same thing as finding the center of the circle that passes through all of them (since all points on a circle are equidistant from the center).
Our points are L, M and N. Draw the lines LM, LN and MN to form a triangle. Now construct the perpendicular bisectors of any two of the lines, and their intersection, point E, will be the center of this circle.
As shown in the Construction Y because E is the circumcentre of triangle LMN.
This is the best location for the warehouse as it is exactly equidistant from the three stores at L, M and N.
QED!
