Answer:
140 routes
Total Number of roads from allen to dodge through baker and Carlson is 140 routes.
Step-by-step explanation:
Given;
Number of roads from Allen to baker = 5
Number of roads from baker to Carlson = 7
Number of roads from Carlson to dodge = 4
Total Number of routes from allen to dodge through baker and Carlson is;
N = 5×7×4
N = 140 routes
Permutation: In a race of 10 students, find the number of ways students can finish 1st, 2nd, and 3rd. In this case the order matters, so it is a permutation.
10 x 9 x 8 = 720 ways
Combination: In a class of 10 students, find the number of ways a group of 3 students can be selected to win a prize. In this case the order doesn't matter, so it's a combination.
10 x 9 x 8 / (3 x 2 x 1) = 120 ways
Answer:
x^2+y^2=16
Step-by-step explanation:
x^2+y^2=r^2 is the mother function of the equation of a circle centered at r with radius r
since r is defined to be 4 and 4^2 is 16 therefore, the equation would then be
x^2+y^2=16
A is the answer to this question no doubt