Could anyone please help me FAST!
2 answers:
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Answer:
360,360 groups of 5 people.
Step-by-step explanation:
We have been given that there are 15 people in an office with 5 different phone lines. We are asked to find groups of 5 people that can answer these lines, if all the lines begin to ring at once.
We will use fundamental principle of counting to solve our given problem.
There are 15 people to answer 1st line, that will leave us with 14 people to answer 2nd line.
Now, we will have 13 people to answer 3rd line, that will leave us with 12 people to answer 4th line.
There are 11 people to answer 5th call.
So 5 lines can be answered in ways.
Therefore, 360,360 groups of 5 people can answer these lines.
If you notice the picture below
the composite figure is just a trapezoid sitting on top of a rectangle
and then, the rectangle has a triangular hole in it
so.. get the area of the trapezoid
then get the area of the rectangle, which is just a 12x14
and then get the area of the triangle, which surely you know is 1/2 bh
then, subtract the triangle's area from the rectangle's area
and whatever is left, namely the difference, add that to the area of the trapezoid, and that's the composite's area
namely the area of the trapezoid plus the rectangle's, minus the triangle's
the composite figure is just a trapezoid sitting on top of a rectangle
and then, the rectangle has a triangular hole in it
so.. get the area of the trapezoid
then get the area of the rectangle, which is just a 12x14
and then get the area of the triangle, which surely you know is 1/2 bh
then, subtract the triangle's area from the rectangle's area
and whatever is left, namely the difference, add that to the area of the trapezoid, and that's the composite's area
namely the area of the trapezoid plus the rectangle's, minus the triangle's