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Asked Jun 15, 2019
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6.3.16

How many subsets with an odd number of elements does a set with 10 elements have?

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Expert Answer

Step 1

Consider that the set has 10 elements and we need to find the subsets with an odd number of elements. For this, calculate the number of possible combination for odd elements.

Step 2

Let S be a set with 10 elements.

Here the possible numbers of subsets for S can be C(10,k)  with k elements.

Now for the provided case “k” should be odd. That is 1,3,5,7 and 9.

Step 3

Therefore the total subsets of A with...

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C(10,1)C(10,3)C (10, 5)+C (10,7) +C (10,9)

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