Name: 1. Directions: Determine the values of n and/or r. (2pts. each) (Written Work) 1. P(n, 2) = 30 2. P(7, r) = 840 3. C(n, 10) = 3C(n, 9) 4. C(13, r) = 286 5. C(n, r) = 4 and P(n, r) = 24
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P(n, 2) = 30 The formula for permutations is P(n, r) = n! / (n-r)! In this case, we have P(n, 2) = n! / (n-2)! = 30. To solve for n, we can set up the equation: n! / (n-2)! = 30 Expanding the factorials, we get: n(n-1) / 2 = 30 Simplifying, we have: n^2 - n - 60 = Show more…
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