Answer: C) 60
Step-by-step explanation:
"At least 2" simply means 2 or more.
2 cities can be selected from 4 cities in 4C2 ways and these two cities, let's say A and B would have two distinct itineraries AB and BA.
Mathematically, that can be done either in 4C2*2! or 4P2 ways = 12.
Also, 3 cities in 4C3*3! or 4P3 ways = 24; that is, 4 cities in 4C4*4! or 4P4 ways = 24.
Total 12+24+24=60 ways.
The correct option is C
Answer:
243
Step-by-step explanation:
3^2 x 3^3 is the same as 3x3 x 3x3x3 which is 9x27 which is 243
To solve a problem like this, you will need to use substitution or elimination. For the sake of an example I will solve this using substitution.
First, solve one of the equations for x or y:
3x-5y=-39
3x=-39+5y
X=(-39+5y)/3
Then substitute for the value of x in the second equation:
6x+2y=-42
6((-39+5y)/3)+2y=-42
Solve for y:
-78+10y +2y=-42
-78+12y=-42
12y=36
Y=3
Once you've solved for y, you can plug in it's value to find x:
X=-39+5(3)/3
X=-24/3
X=-8
So, we can conclude that the correct answer is B. (-8,3)
Answer:
c
Step-by-step explanation: