Finding the Number of Subsets of a Set (Example Problems)

How do we find the number of subsets a set has? How many subsets does any given set has? In this video we go over some example problems, calculating the number of subsets a set has.

SOLUTIONS TO PRACTICE PROBLEMS:

1. The empty set has 0 elements, so it has 2^0 = 1 subsets. The only subset of the empty set is the empty set itself.

2. This set has 6 elements. They are the numbers 3, 4, and 7, the set { 3, 4, 7 }, and the numbers 34 and 73. Thus, it has 2^6 = 64 subsets.

3. This set has 8 elements. They are the numbers 4, 2^3, 0, and 2, the interval [1, 2], the sets { 1, 9, 10 } and { }, and the 3-tuple (2, 3, 4). Thus, it has 2^8 = 256 elements.

How did you do?

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I hope you find this video helpful, and be sure to ask any questions down in the comments!

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The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work.

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+WRATH OF MATH+

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[kairyu]

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[miltonjohnverzola]

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[kellyyy]

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[roshnitamang]

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[georgechristie]

1.o subsets

2. 2×2×2=8 subsets

3. 2×2×2×2= 16
Thank you so much dude it help for my End of term test (first Term)

[rajudai]

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[darvinhood]

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[spectrum]

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[drs]

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[mumbamwansa]

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[kairyu]

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[sethzhatriannicalingacion]

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[aarabghimire]

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[syed]

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[bellepabellano]

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[mohaniesewcharran]

I liked you help there butt in the next video about subsets i really think you should list out the subsets fully.... That is gonna help me and other children's in a better way 💙.

[letsgo]

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i have a confusing doubt sir does the set {x<3} contain infinite components because it does not belong to another set?

[blessingbleble]

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[PrinceGaming]

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