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7) (5 points). Consider two sets S1 and S2. How many relations are there from Si

ID: 3559126 • Letter: 7

Question

7) (5 points). Consider two sets S1 and S2. How many relations are there from Si to 52? 8) (5 points). How many 1-1 mappings are there from a set of size 4 to a set of size 8? 9) (5 points). How many 1-1 mappings are there from a set of size 4 to a set of size 4? 10) (5 points). How many 1-1 mappings are there from a set of size 8 to a set of size 4? 11) (20 points = 2 * 10 points). List in order the edges added when performing Prim's algorithm for Minimum Spanning Tree (MST) and then Kruskal's algorithm for MST.

Explanation / Answer

7) No. of relations from S1 to S2 = 2n(S1) x n(S2)

no. of 1-1 mappings from a set containing m elements to a set containing n elements= nm

8) 84 = 4096

9)44 = 256

10) 48 = 65536

11)Prims algo

let root node = 2

order of adding the edges(Prims): 2-3 3-0 0-1 3-6 6-5 6-4

order of adding the edges(Kruskals algo): 5-6 0-3 2-3 0-1 3-6 6-4

if my answer is correct,,,, pls rate...

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