Question

let A=(1,3,5,7,9,11) then the number of subsets of A is equal to​

Answer 1

Answer:

2^6=64

Step-by-step explanation:

2^n is the formula for finding subsets

now here n means no of digits in set

Answer 2

Given : A=(1,3,5,7,9,11)

To find :  number of subsets of A

Solution:

A=(1,3,5,7,9,11)

n(A)  =  6

number of subsets  =  2⁶  = 64

Detailed :

Subsets with 0 elements  = ⁶C₀ =  1        {}

Subsets with 1 elements  =   ⁶C₁ =  6      {1} , {3 } , { 5} , { 7} , { 9 } , { 11}

Subsets with 2 elements  =   ⁶C₂ =  15    

Subsets with 3 elements  =   ⁶C₃ =  20    

Subsets with 4 elements  =   ⁶C₄ =  15    

Subsets with 5 elements  =   ⁶C₅ =  6

Subsets with 6 elements  =   ⁶C₆ =  1

1  + 6 + 15  + 20 + 15 + 6 + 1  = 64

or

⁶C₀ + ⁶C₁ + ⁶C₂ + ⁶C₃ + ⁶C₄ + ⁶C₅ + ⁶C₆  = (1 + 1)⁶ = 2⁶  = 64

Hence the number of subsets of A   = 64

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