12.If A is a set of first 10 natural
numbers then number of subsets of
A are *
O 20
O 1024
256
O 100
Answers
Answer:
256
Step-by-step explanation:
I hope it's helpful
Given : A is a set of first 10 natural numbers
To Find : number of subsets of A
20
1024
256
100
Solution:
A is a set of first 10 natural numbers
A = { 1 , 2 ,3 , 4 ,5 , 6 , 7 ,8 , 9 , 10 }
n(A) = 10
subsets of A with 0 elements = ¹⁰C₀
subsets of A with 1 elements = ¹⁰C₁
subsets of A with 2 elements = ¹⁰C₂
subsets of A with 9 elements = ¹⁰C₉
subsets of A with 10 elements = ¹⁰C₁₀
Total Subsets
= ¹⁰C₀ + ¹⁰C₁ + ¹⁰C₂ + ......................+ ¹⁰C₉ + ¹⁰C₁₀
= (1 + 1)¹⁰
= 2¹⁰
= 1024
number of subsets of A are 1024
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