ebossmanyoung
Answered

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Let A = {3, 4, 5, 6, 7, 9, 10, 11}

a. How many subsets does A​ have?

b. How many proper subsets does A​ have?

(Type a whole number)

Sagot :

Hrishii

Answer:

a. 256

b. 255

Step-by-step explanation:

If a set has “n” elements, then the number of subset of the given set is [tex]2^n[/tex] and number of proper subset is [tex]2^n-1[/tex]

A = {3, 4, 5, 6, 7, 9, 10, 11}

Here, n = 8

No of subsets

[tex] = {2}^{n} = {2}^{8} = 256[/tex]

No of proper subsets

= [tex]2^n-1 = 256-1=255[/tex]

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