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Difference between revisions of "2014 AMC 12B Problems"
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==Problem 14== | ==Problem 14== | ||
| − | Amy, Bob, Charlie, and | + | Amy, Bob, Charlie, Dorothy, Edd, and Frank each select distinct integers between <math>1</math> and <math>100</math>, inclusive. What is the probability that the four integers are the lengths of the sides and diagonals of a cyclic quadrilateral? |
<math>\textbf{(A)}\ 0 \qquad \textbf{(B)}\ \frac{1}{42} \qquad \textbf{(C)}\ \frac{1}{30} \qquad \textbf{(D)}\ \frac{1}{21} \qquad \textbf{(E)}\ \frac{1}{7}</math> | <math>\textbf{(A)}\ 0 \qquad \textbf{(B)}\ \frac{1}{42} \qquad \textbf{(C)}\ \frac{1}{30} \qquad \textbf{(D)}\ \frac{1}{21} \qquad \textbf{(E)}\ \frac{1}{7}</math> | ||
Revision as of 21:41, 8 February 2014
Contents
- 1 Problem 1
- 2 Problem 2
- 3 Problem 3
- 4 Problem 4
- 5 Problem 5
- 6 Problem 6
- 7 Problem 7
- 8 Problem 8
- 9 Problem 9
- 10 Problem 10
- 11 Problem 11
- 12 Problem 12
- 13 Problem 13
- 14 Problem 14
- 15 Problem 15
- 16 Problem 16
- 17 Problem 17
- 18 Problem 18
- 19 Problem 19
- 20 Problem 20
- 21 Problem 21
- 22 Problem 22
- 23 Problem 23
- 24 Problem 24
- 25 Problem 25
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Amy, Bob, Charlie, Dorothy, Edd, and Frank each select distinct integers between 
and 
, inclusive. What is the probability that the four integers are the lengths of the sides and diagonals of a cyclic quadrilateral?
Problem 15
Problem 16
Problem 17
Let 
be the set of points on the graph of 
such that 
is an integer between 
and , inclusive. How many distinct line segments with endpoints in have integer side lengths?
