List the following sets and write the number of subsets that can be made from each.

(a) A = {x : x ∈ N and x is 1-digit prime number}

(b) B = {set of all months of the year starting with the letter J}

(c) C = {set of the first 4 multiples of 5}

(d) D = {set of letters of the word school}

# List the following sets and write the number of subsets that can be made from each (a) A = x : x ∈ N and x is 1 digit prime number

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Step by Step Solution :(a) A = {x : x ∈ N and x is 1-digit prime number}= A = {2, 3, 5, 7}

∴No of subsets = 2^{4}= 16(b) B = {set of all months of the year starting with the letter J}= B = {January, June, July}

∴No of subsets = 2^{3}= 8(c) C = {set of the first 4 multiples of 5}= C = {5, 10, 15, 20}

∴No of subsets = 2^{4 }= 16(d) D = {set of letters of the word school}= D = {s, c, h, o, l}

∴No of subsets = 2^{5}= 32More about Subset :•If two sets A and B are such that every element of A is in B then A is called the subset of B.•This is written in symbol as A ⊆ B.Also B is called the super-set of A•

•This is Written as B ⊇ A