Answer:
When 5 winners are randomly selected, the probability that they are all men is 0.003.
Step-by-step explanation:
Among the contestants in a competition are 46 women and 23 men.
Total persons are =
When one winner is chosen, there are 68 people left, when second winner is chosen there are 67 people left and so on.
So, the probability that they are all men is given by:

=
= 0.002999 ≈ 0.003
Therefore, when 5 winners are randomly selected, the probability that they are all men is 0.003.
Answer:
450
(I can't post the answer if it's less than 20 letters so just ignore this I'm trying to fill up)
Hey hey y’all is that the answer
It's kinda like using variables, but shapes in their place. Let's set the circle to x, the triangle to y, and the square to z. Now the equations say x+(y+z)=13, (y+z)=8, and x+y=7. First thing we can do it plug 8 into the first equation for y+z, getting x+8=13. Subtract 8 to both sides and x (or circle) equals 5. Plug 5 into the last equation, x+y=7 to solve for y, getting 5+y=7. Subtract 5 to both sides and y (or triangle) equals 2. Finally, plug two in for y in y+z=8, getting 2+z=8. Subtract 2 from both sides and z (or square) equals 6. Hope I've explained it clearly!!