Question

How many subsets does the set B have? B={5,10,15,20,25,30}Select the correct answer below:63366564

Answer 1

Given that,

B={5,10,15,20,25,30}

To find the number of subsets does the set B have.

we get that,

The number of subsets does the set B have s nothing but the number of possible ways (Combination) where n=0,1,2,3,4,5,6

Let the number of subsets does the set B have be n(B)

`n(B)=6C_0+6C_1+6C_2+6C_3+6C_4+6C_5+6C_6`
`n(B)=1+6+15+20+15+6+1`
`n(B)=64`

The number of subsets B have is 64.

Answer is: 64