Answer:
There are 2450 ways.
Step-by-step explanation:
We can pick first the 4 man, and then the 4 women. The configuration of men and women are independant with each other, so the total of possibilities is obtained by multiplying the total possibilities to pick 4 men and the total possibilities of picking 4 women.
To pick 4 men from a group of 8, the total number of possibilities is the amount of ways to pick 4 elements from a group of 8. This number is represented by the combinatorial number of 8 with 4

To pick 4 women from a group of 7, we need to count the total amount of ways to pick 4 elements from a group of 7. This is the combinatorial number of 8 with 7

Hence, the total amount of ways to pick 4 men and 4 women from a group of 8 men and 7 women is 70*35 = 2450.
9514 1404 393
Answer:
x = 21
y = 25
Step-by-step explanation:
The diagonals of a quadrilateral bisect each other, so each half of a diagonal is congruent to the other half.
x -2 = 19
x = 21 . . . . add 2
__
y +1 = 26
y = 25 . . . . subtract 1
Answer: A = 4 P = π PS = -π/2
<u>Step-by-step explanation:</u>
y = A sin(Bx - C) + D where
- A is the amplitude
- Period = 2π/B
- Phase Shift = C/B
- D is the vertical shift
Given: y = -4 sin(2x + π) - 3
- A (amplitude) = 4 <em>the negative sign is a reflection, not amplitude</em>
- B = 2
- C = -π
- D = -3
Amplitude = 4


Answer:
36
Step-by-step explanation: