Multiply both sides by c
X = d*c
Answer: 12-n=25
-n=25-12
-n=13
Step-by-step explanation:
Combinatorial Enumeration. That whole class was a rollercoaster ride of mind-blowing generating functions to prove crazy things. The exam had ridiculous questions like 'count the number of cactus trees with n vertices such that etc etc etc' and you'd do three pages of terrible terrible sums and algebra. Then your final answer would be something beautiful like n/2 and you'd breath a sigh of relief and thank the math gods.
11 and 12
7 and 512
12 and 10
0 and 78
left side numerator
right side denominator
