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A set with N elements has 2N subsets.
512 subsets
There are 2100 = 1.268*1030 or 1,268 octllion subsets with an odd number of elements.
A set with 50 elements has 250 subsets.
7.
An element doesn't have subsets. Sets can have subsets.
A set with N elements has 2N subsets.
6
In a subset each element of the original may or may not appear - a choice of 2 for each element; thus for 3 elements there are 2 × 2 × 2 = 2³ = 8 possible subsets.
512 subsets
8 subsets
A set with 9 elements has 2^9 = 512 subsets.
64. You can use Pascal's triangle to figure out how many subsets have no elements, one element, two elements and so on. For this particular one, you will have 6 subsets with one element, 15 with two, 20 with three, 15 with four, 6 with five and only one each of all six and none at all.
There are 2100 = 1.268*1030 or 1,268 octllion subsets with an odd number of elements.
A set with 50 elements has 250 subsets.
7.
Two. The set {x} has the subsets {} and {x}.