Find the Number of subset of A if A =(x:x=2n+1,5<n<10)
Answers
Answer:
A={13,15,17,19}
no of subsets = 2^n=2^4= 16. where n is the no of elements of the set.
no of proper subsets= 2n-1 =7.
Answer:
No. of Subsets of A = 16
Step-by-step explanation:
We are given,
5 < n < 10
Considering n to be all natural numbers between 5 and 10
Let n = 6
x = 2(6) + 1 = 13
n = 7
x = 2(7) + 1 = 15
n = 8
x = 2(8) + 1 = 17
n = 9
x = 2(9) + 1 = 19
∴ A = {13, 15, 17, 19}
Here,
n(A) = 4
where n(A) represents the number of terms in the set A.
So, n = 4
Thus,
No. of Subsets = 2^n
No. of Subsets of A = 2⁴ = 16
We can also check this,
Subsets of A are,
{}, {13}, {15}, {17}, {19}, {13, 15}, {13, 17}, {13, 19},
{15, 17}, {15, 19}, {17, 19}, {13, 15, 17}, {15, 17, 19},
{13, 15, 19}, {13, 17, 19}, {13, 15, 17, 19}
Counting them we get,
No. of subset of A = 16
Hope it helped and believing you understood it........All the best