Calculate the number of subsets and the number of proper subsets for the set

Option C:

Number of subsets and number of proper subset is 64, 63

Solution:

Given set = {1, 3, 5, 7, 9, 11}

Number of elements in the set (n) = 6

Number of Subsets of a given Set:

If a set contains ‘n’ elements, then the number of subsets of the set is .

Number of Subsets of a given Set =

Number of Proper Subsets of the Set:

If a set contains ‘n’ elements, then the number of proper subsets of the set is .

Number of Proper Subsets of the Set =

Option C is the correct answer.

Hence number of subsets and number of proper subset is 64, 63.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet