● Let p be the proposition "() is a natural number" Let q be the proposition "The product of three consecutive numbers is divisible by three" Letr be the proposition "The product of two consecutive numbers is divisible by two" ) 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.

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(4) Why is r true?
(5) Remember that (3)
(6) Write the relationship between p, q, and r using symbolic logic.
(7) What does q and r being true tell you about p?
(8) What is another reason that p has to be true? You can use question 1 to help you
find a reason.
=
n(n-1)(n-2) Explain how q and r are connected to (3).
3-2

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