# MATH

posted by .

JOhn had prepared the problem sets for Levels 1 to 5 of Geometry and Combinatorics for next month but forgot to label which set was for which level. Since Calvin didn't label them, the computer assigned them labels 1 through 5 randomly, with each label appearing only once. The probability that the problem sets given to each level are within one level of what they were supposed to be can be expressed as ab, where a and b are positive, coprime numbers. What is the value of a+b?

• MATH -

Details and assumptions
The computer randomly assigns each problem set to a level, and each level has exactly 1 problem set that is assigned. For example, the computer could assign the Level 1 problem set to Level 5 students, the Level 2 problem set to Level 4 students, the Level 3 problem set to Level 3 students, the Level 4 problem set to Level 2 students and the Level 5 problem set to Level 1 students.

## Similar Questions

1. ### Math (Combinatorics)

A newly designed international airport is planning to label its gates. Each gate must be assigned a letter from the alphabet from A to M (13 in all), and a number from 1 to 15. To avoid confusion, any two gates must be assigned a different …
2. ### Math (Combinatorics)

A newly designed international airport is planning to label its gates. Each gate must be assigned a letter from the alphabet from A to M (13 in all), and a number from 1 to 15. To avoid confusion, any two gates must be assigned a different …
3. ### Probablity

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, …
4. ### Math

The Little Can Company makes cylindrical cans with a height of 3 inches and radius of 1 inch. The entire lateral face is covered by a label. The paper for the labels is purchased in rolls 3 inch high. When unrolled the paper is 10 …
5. ### english

John took off his helmet, turnout gear, and boots in the truck room and hung the jacket on his assigned peg. Just above the peg was a handmade label that read, ‘FF#121 Wilson.’ John still felt a sudden surge of pride every time …

A peanut manufacturing company pays $0.02 per square inch of label used on its cylindrical peanut containers. Each container has a radius of 1.5 inches and a height of 2.5 inches. If the label covers the lateral area of the container, … 7. ### Math: Geometry The bases of trapezoid$ABCD$are$\overline{AB}$and$\overline{CD}$. We are given that$CD = 8$,$AD = BC = 7$, and$BD = 9$. Find the area of the trapezoid. [asy] unitsize(1 cm); pair A, B, C, D; A = (1,2); B = (3,2); C = (4,0); … 8. ### PLease Help Math Sets The 130 consumers were asked about their buying preferences concerning another product that is sold in the market under three labels. The results were 12 buy only those sold under label A. 24 buy only those sold under label B. 27 buy … 9. ### Math In a survey, 175 consumers were asked about their buying preferences concerning a product that is sold in the market under three labels. The results were as follows. 14 buy only those sold under label A. 25 buy only those sold under … 10. ### math In the below figure, EB is tangent to the circle with center$C\$ at the point B. If EC is equal to the diameter of the circle, find the measure of angle BAD in degrees. and here is the ugly LaTeX [asy] pair C = (0,0), B = dir(110), …

More Similar Questions