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Q: How many subsets with an odd number of elements does a set of 10 elements have - Can you explain?

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The number of subjects will depend on what the elements of the set are. The number of subsets is 2a.

A set with n elements has 2n subsets. The number of proper subsets is one less, since 2n includes the set itself.

That means, figure out how many different subsets a set has. In general, if a set has n elements, it has 2n different subsets.

To get the number of subsets of size less than 2:Total number of subsets of a set of size N is 2NTotal number of subsets of size 1 is 100Total number of subsets of size 0 is 1Total number of subsets of size 2 is 100*99/2 = 4950Sum up: 100 + 1 + 4950 = 5051Subtract this from total subsets: 2100 - 5051 (Answer)

8 subsets

A set with 9 elements has 2^9 = 512 subsets.

7.

2^50=1.125899907*10^15

If the universal set contains N elements then it has 2N subsets.

There are 2100 = 1.268*1030 or 1,268 octllion subsets with an odd number of elements.

If you have a set of 6 elements, you can make a total of 26 different subsets - including the empty set and the set itself.

2n. SeeHow_many_subsets_are_there_in_12_elements

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