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Please show it step by step! 1.4.4 Use the 6n + 5 Construction to find a PBD of order 17 with one block of size

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1.4.4 Use the 6n + 5 Construction to find a PBD of order 17 with one block of size 5, the rest of size 3. 1.4.5 A PBD(17) with one block of size 5, the rest of size 3 is constructed using the 6n + 5 Construction and the following idempotent commutative quasigroup. 1.5. Quasigroups with holes and Steiner triple systems 17 1 2 3 4 5 1 1 5 2 3 4 2 5 1 (Q,0)= 3 2 4 3 5 1 4 3 1 5 4 2 5 4 31 2 5 Find the blocks containing the following pairs: (i) 1 and (3, 2) (ii) (3, 3) and (5,3) (iii) (4,3) and (5, 1) (iv) (1, 1) and (1,3) (v) (3, 3) and (4,3) (vi) (3, 1) and (5,3) (vii) (2, 1) and (5,3) (viii) (1, 1) and (5,3). 1.4.4 Use the 6n + 5 Construction to find a PBD of order 17 with one block of size 5, the rest of size 3. 1.4.5 A PBD(17) with one block of size 5, the rest of size 3 is constructed using the 6n + 5 Construction and the following idempotent commutative quasigroup. 1.5. Quasigroups with holes and Steiner triple systems 17 1 2 3 4 5 1 1 5 2 3 4 2 5 1 (Q,0)= 3 2 4 3 5 1 4 3 1 5 4 2 5 4 31 2 5 Find the blocks containing the following pairs: (i) 1 and (3, 2) (ii) (3, 3) and (5,3) (iii) (4,3) and (5, 1) (iv) (1, 1) and (1,3) (v) (3, 3) and (4,3) (vi) (3, 1) and (5,3) (vii) (2, 1) and (5,3) (viii) (1, 1) and (5,3)

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