17. Compute d = ged(28, 124). Find integers x, y so that 28x + 124y = d. 18. Find the order of the element 3 in Z15. 19. Find the order of the element o = 0123 in S4. 3210 20. Find the order of the element (2, 3) in the direct product group Z4 × 28. 1 7.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 15E
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Answer 18 and 19
17. Compute d = ged(28, 124). Find integers x, y so that 28x + 124y = d.
18. Find the order of the element 3 in Z15.
19. Find the order of the element o =
0123
in S4.
3210
20. Find the order of the element (2, 3) in the direct product group Z4 × 28.
✓7.
FI
Transcribed Image Text:17. Compute d = ged(28, 124). Find integers x, y so that 28x + 124y = d. 18. Find the order of the element 3 in Z15. 19. Find the order of the element o = 0123 in S4. 3210 20. Find the order of the element (2, 3) in the direct product group Z4 × 28. ✓7. FI
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