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let A=(5,10,15) and B=(3,5)
Define relation S and T from A to B as follows
1.for all (x,y)ϵ AхB xSy↔y│x(y divided x)
2.for all (x,y) ϵAxB xTy↔x+y ≥15
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1. a basket contains 15 red balls and 10 white balls. a sample of five balls is selected. how many samples contain 3 red balls and 2 white balls. explain?
2. six students, A,B,C,D and Eare required to form a line for an inspection. in how many ways can this be D must be between F and C?. Explain
There are 12 micro phones 8 laser printers in an office. Find the minimum number of connections to be made which will guarantee that if 8 or fewer computers want to print at the same time, each of them will be able to use a different printer.
Part I: Adjacency Matrix and Shortest Path
Construct a graph based on the adjacency matrix that appears below. Label all nodes with indices consistent with the placement of numbers within the matrix.
0 6 0 5 0
| 6 0 1 0 3 |
| 0 1 0 4 8 |
| 5 0 4 0 0 |
0 3 8 0 0
1) Describe the graph and why it is consistent with the matrix.
2) How many simple paths are there from vertex 1 to vertex 5? Explain.Which is the shortest of those paths?
There are 12 micro phones 8 laser printers in an office. Find the minimum number of connections to be made which will guarantee that if 8 or fewer computers want to print at the same time, each of them will be able to use a different printer.
There are 12 micro phones 8 laser printers in an office. Find the minimum number of connections to be made which will guarantee that if 8 or fewer computer want to print at the same time, each of them will be able to use a different printer.
