Answer:
C {-2,3,7,9}
Step-by-step explanation:
C {-2,3,7,9}
Answer:
d
Step-by-step explanation:
Answer:
<em>79,920 different ways</em>
Step-by-step explanation:
Combination has to do with selection:
If we are to select 3 teachers from a pool of 10 teachers to form a committee, this can be done in 10C3 number of ways.
10C3 = 10!/(10-3)!3!
10C3 = 10!/7!3!
10C3 = 10*9*8*7!/7!3!
10C3 = 10*9*8/3*2
10C3 = 720/6
10C3 = 120 ways
Similarly, selecting five 2 students from a pool of 37 students to form a committee, this can be done in 37C2 difference ways;
37C2 = 37!/(37-2)!2!
37C2 = 37!/35!2!
37C2 = 37*36*35!/35!*2
37C2 = 37*36/2
37C2 = 37 * 18
37C2 = 666 ways
<em>Hence the total number of ways that the 5 committees can be selected is expressed as 10C3 * 37C3 = 120 * 666</em>
<em> 120 * 666 = 79,920 ways</em>
We can use the given points to construct the equations for the mail truck's and fire truck's motion.
Mail truck:
slope = (9 - 3) / (1 + 5)
slope = 1
y - 9 = (x - 1)
y = x + 8
Fire truck
slope = (2 - 12) / (0 + 10)
slope = -1
y - 12 = -1(x + 10)
y = 22 - x
Equating the two:
x + 8 = 22 - x
2x = 14
x = 7
y = x + 8
y = 7 + 8
y = 15
The trucks intercept at the point (7, 15)
