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Find the number of subsets are the number of proper subsets of the following sets (1){ red,blue, yellow} (2) { x², x € N, x²< 100}
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(i) Given W = {red,blue, Yellow}
Then n (W) = 3
The Number of subsets = n[P(W)] = 2³ = 8
The Number of Proper subsets = n[P(W)]
⇒ - 1 = 2³ - = 8 - 1
= 7
(ii) Given X = {1,2,3}
X² = {1,4,9,16,25,36,49,64,81,100}
n(X) = 10
The Number of subsets = n[P(X)] = 2¹⁰ = 1024
The Number of Proper subsets = n[P(X)]
⇒ -1 = 2¹⁰ - 1 = 1024 - 1
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Hi epdi irukkeenga?....
Ena ngyabagam iruka??
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