• Let p be the proposition “(3) is a natural number" • Let q be the proposition "The product of three consecutive numbers is divisible by three" ● Let r be the proposition “The product of two consecutive numbers is divisible by two" (1) Suppose S = {a, b, c, d, e}. How many three-element subsets of S are there? Your answer should be a formula, not a number. (2) By hand, use the formula and work out what the number is. Be sure to show all your canceling in the fraction. (3) Why is q true? (4) Why is r true? (5) Romombor that (12) n(n-1)(n-2) Fynlain how a and r are connected to (n)

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