Answer: A
Step-by-step explanation: i multiplied all the sides
If we define "n choose r" as C(n,r)=n!/(r!(n-r)!)
where C(n,r) represents the number of ways (order not important) we can choose r objects out of n, then
Number of ways to choose teachers = 10 choose 2 = C(10,2), and
number of ways to choose students = 41 choose 2 = C(41,2)
So the number of different committees
= C(10,2)*C(41,2)
= 45*820
= 36900
Answer: 18x + 12
Step-by-step explanation:
Step #1: Determine the length of each side.
The polygon is regular, so all the sides are equal. Thus, all sides measure 3x+2.
Step #2: Determine the number of sides in the polygon.
This polygon is identified as a hexagon meaning it consists of 6 sides.
Step #3: Set up an expression and distribute.
(Number of sides) x (Length of each side)
(6)(3x+2)
- 6 times 3x equals positive 18x
- 6 times 2 equals positive 12
So, the answer is 18x + 12.