SOLUTION: In how many ways can three numbers be selected from the set {1,3,4,6,7,8,11} so that the sum of the three numbers is even? In how many ways can three numbers be selected so that t

Question 140430: In how many ways can three numbers be selected from the set {1,3,4,6,7,8,11} so that the sum of the three numbers is even? In how many ways can three numbers be selected so that their product is odd?
Would my first step be understanding that I need 2 even and 1 odd, or 3 odd to get odd and then 2 odds and 1 even and 3 even to get evens?
Thankyou Maria
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In how many ways can three numbers be selected from the set {1,3,4,6,7,8,11} so that the sum of the three numbers is even? In how many ways can three numbers be selected so that their product is odd?
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There are 7C3 = 7*6*5/1*2*3 = 35 sets of three numbers.
You would have to look at each of those sets and see the sum and/or product
is.
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Cheers,
Stan H.
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