Simplify the complex fraction x/ x+2 * 1/x + 1/x+2
a. x^2/2
b. x^2/x+2
c. x^2/2x+2
d. x^2+2x+2/2x+2

Step-by-step explanation:

2 out of 6 freshmen
3 out of 7 sophomores
4 out of 7 juniors
5 out of 8 seniors 

the number of ways you can get 2 out of 6 freshmen is c(6,2) = 15
the number of ways you can get 3 out of 7 sophomores is c(7,3) = 35
the number of ways you can get 4 out of 7 juniors is c(7,4) = 35
the number of ways you can get 5 out of 8 seniors is c(8,5) = 56 

the total number of ways you can get 2 freshmen and 3 sophomores and 4 juniors and 5 seniors is therefore 15 * 35 * 35 * 56 = 1,029,000.