Question

9. Write the number of subsets of M={1/2,1/3,1/4,1/5,1}​

Answer 1

Step-by-step explanation:

Given:-

A set M={1/2,1/3,1/4,1/5,1}

To find:-

Write the number of subsets of M={1/2,1/3,1/4,1/5,1}

Solution:-

Given set is M={1/2,1/3,1/4,1/5,1}

Number of elements in the set M = 5

Cardinal number of M = 5

n(M)=5

We know that

The number of elements is 'n', the possibile number of subsets to the given set = 2^n

Total number of subsets of M = 2^5

=> 2×2×2×2×2

=> 32

They are :-

{ }

{1/2},{1/3},{1/4},{1/5},{1},

{1/2,1/3}, {1/3,1/4}, {1/4,1/5},{1/5,1},{1,1/2},{1/3,1},{1/3,1/5},{1/4,1},{1/2,1/4},{1/2,1/5},

{1/2,1/3,1},{1/3,1/5,1},{1/4,1,1/5},{1/3,1/4,1/5},{1/3,1/4,1},{1/2,1,1/5},{1/2,1/3,1/5},{1/3,1/4,1/2}{1/4,1/2,1},{1/2,1/4,1/5},

{1/3,1/4,1/5,1},{1/3,1/5,1/2,1},{1/2,1/4,1/4,1},{1/2,1/4,1/5,1},

{1/2,1/3,1/5,1/4},{1/3,1/2,1/4,1/5,1}

Used formulae:-

The number of elements is 'n', the possibile number of subsets to the given set = 2^n

(See the attachment for identifying the sets easily)

Answer 2

Answer:

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Step-by-step explanation:

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