Posted by **Mathslover** on Tuesday, May 14, 2013 at 5:21am.

Samir had prepared the problem tests for Stages 1 to 5 of Geometry and Combinatorics for next week but forgot to label which test was for which stage. Since Samir didn't label them, the computer assigned them labels 1 through 5 randomly, with each label appearing only once. The probability that the problems given to each stage are within one stage of what they were supposed to be can be expressed as a/b, where a and b are positive, coprime numbers. What is the value of a+b?

Details and assumptions

The computer randomly assigns each problem test to a stage, and each stage has exactly 1 problem test that is assigned. For example, the computer could assign the stage 1 problem test to stage 5 students, the stage 2 problem test to stage 4 students, the stage 3 problem test to stage 3 students, the stage 4 problem test to stage 2 students and the stage 5 problem test to stage 1 students.

## Answer This Question

## Related Questions

- MATH - JOhn had prepared the problem sets for Levels 1 to 5 of Geometry and ...
- Math: Geometry - The bases of trapezoid $ABCD$ are $\overline{AB}$ and $\...
- algebra - Samir begins riding his bike at a rate of 6 mph. Twelve minutes later...
- Math - The Little Can Company makes cylindrical cans with a height of 3 inches ...
- PLease Help Math Sets - The 130 consumers were asked about their buying ...
- Math (Combinatorics) - A newly designed international airport is planning to ...
- Math (Combinatorics) - A newly designed international airport is planning to ...
- Math - Police report that 88% of drivers stopped on suspicion of drunk driving ...
- math - A peanut manufacturing company pays $0.02 per square inch of label used ...
- geometry - The rectangular label will completely cover the lateral surface of ...

More Related Questions