Answer:
190 possibilities.
Step-by-step explanation:
The problem is called 20 choose 2, given by the formula for combinations
C(20,2) = 20! / (2! (20-2)!) = 190
alternatively, we can reason it this way:
there are 20 choices to choose a captain and 19 choices for an alternate captain for a total of 380 ways.
However, there are 20 choices to choose an alternate captain and 19 choices for a captain for a total of 380 ways.
Since we are essentially double counting every choice of the posts, we need to divide 380 by 2 to get 190 ways.
Answer:
<u>x = -4/3</u>
Step-by-step explanation:
3x + 4 = 0
3x = -4
<u>x = -4/3</u>
Answer:
x=6
Step-by-step explanation:
First, you subtract 5 from both sides of the equation.
2/3x=9
Then you divide both sides by 2/3 to get x by itself, which equals 6. So, the answer is 6.
Answer: (C) {x | x R, x > 3}
Explanation:
Solve the inequality for x:
x -5 > -2 | add 5
x > -2 + 5
x > 3
Solution set: all Reals x > 3, or {x | x R, x > 3}