Hello! The answer to your question would be as followed:
20 / (3 * (20 - 3))
20 / (3 * 17!)
20 * 19 * 18 * 17 / (6 * 17)
20 * 19 * 18 / 6
20 * 19 * 3
20 * 57 =
1140
Tina can select a set o 3 rings from a total of 20 rings in 1140 different ways as per permutation method.
The different ways of arranging the elements of a set is called permutation.
Here, in this given question, Tina has 20 rings.
The different ways Tina can select a set of three rings is
= ²⁰P₃
= 20! / (20 - 3)! × 3!
= 20! / (17! × 3!)
= (20 × 19 × 18 × 17!) / (17! × 3 × 2)
= (20 × 19 × 18)/6
= 1140.
Hence, in 1140 different ways Tina can select a set o 3 rings from a total of 20 rings.
Learn more about permutation here: brainly.com/question/23283166
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