Out of 8 men, 4 can be selected and lined up in (8 x 7 x 6 x 5) = 1,680 ways.
But within that number, each group of 4 appears in (4 x 3 x 2) = 24 orders.
So there are (1,680 / 24) = 70 different groups of men.
Out of 5 women, 3 can be selected and lined up in (5 x 4 x 3) = 60 ways.
But within that number, each group of 3 appears in (3 x 2) = 6 orders.
So there are (60 / 6) = 10 different groups of women.
Each different group of 70 men can be joined by any of the 10 groups
of women. So the total number of possible subcommittees is (70 x 10) = 700 .
Answer:
the answer is <u>424</u>
Step-by-step explanation:
you need to use long divison to find the number <3
Answer:
(-3, 2)
Step-by-step explanation:
Given that point Q, partitions segment PE, such that PQ:QE is 1:3, coordinates of point Q is found using the formula below:
Where,
Plug in the necessary values to find x and y coordinates for point Q as follows:
The coordinates of the point Q are (-3, 2))
Answer:
A right triangle inscribed in a circle must have its hypotenuse as the diameter of the circle.
Step-by-step explanation:
A rectangle is made of two right triangles then a rectangle inscribed in a circle must have its diagonal as the diameter of the circle. Hope this helps
To find the slope, use y2-y1/x2-x1
In this case, it is -7-3/4-(-1)
-10/5
-2/1
That is the same as -2, so the answer is -2
