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Q: How is it possible for a set to have an odd number of subsets?

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Only a set can have subsets, a number such as -2.38 cannot have subsets.

The number of subsets of any set must be a whole number.

Think about it - this one is fairly simple. Ask yourself the question: "Does this set have a largest element?" If the answer is "yes", then the set is finite. If the answer is "no", the set is infinite. Note: This reasoning works for subsets of natural numbers; for integers, additional adjustments are needed.

An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator. A rational number can be.

With a standard 6 faced die, numbered 1 through 6, there are three odd numbers, 1, 3, and 5, of which 3 and 5 are prime, and there is one even prime, 2. The probability, then, of rolling an odd number which is prime is 1 in 3, i.e. 3 or 5 out of a possible result set of 1, 2, 3, 4, 5, and 6.

Related questions

512 subsets

A set with 27 members has 2^27 = 134217728 subsets - including itself and the null set.

A fraction is a number, it is not a set. A number cannot have subsets, only a set can.

If the set has n elements, the number of subsets (the power set) has 2n members.

The number of elements. A set with n elements has 2n subsets; for example, a set with 5 elements has 25 = 32 subsets.

A finite set with N distinct elements has 2N subsets.

The number 8 is not a set and so cannot have any subsets. The set consisting of the number 8 is a set and, since it has only one element in it, it has two subsets: itself and the null set.

If the set has "n" elements, then you can make 2n different subsets. The number of subsets will always be greater than the size of the set, both for finite and for infinite sets.

Only a set can have subsets, a number cannot have subsets.

No. The number of subsets of that set is strictly greater than the cardinality of that set, by Cantor's theorem. Moreover, it's consistent with ZFC that there are two sets which have different cardinality, yet have the same number of subsets.

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

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

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