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anonymous

  • one year ago

How many six element subsets contain four evens and two odds? A={1,2,3,4,5,7,8,10,11,14,17,18} I've already calculated there are 924 6 element subsets.

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  1. welshfella
    • one year ago
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    there are 6 even numbers and 6 odd ones number of possible combinations of 4 from 6 = 6C4 and of 2 from 6 = 6C2 so total number = 6C2 * 6C4

  2. welshfella
    • one year ago
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    924 is correct for the total of 6 element subsets. The reason i asked was because i assumed there were 18 elements in the set - until i counted them!!!

  3. anonymous
    • one year ago
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    Perhaps can you also explain to me the logic they used to answer this? "How many odd subsets are in A" From looking around the reasoning is that you have 2 choices to include a number or not to and you have 6 odd numbers so the answer is 2^6 or 64. My question is I am a bit confused on how the sentence converts into the power. Aka how "You have 2 choices 6 numbers) represents 2^6 would that mean that the total number of subsets for A would be 2^12 ?

  4. welshfella
    • one year ago
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    i 'm confused by that to be honest and i have to go right now.

  5. anonymous
    • one year ago
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    Alright no problem

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