a-set-X-had-one-more-subset-than-set-Y-If-X-has-8-more-subsets-than-Y-Find-the-number-if-element-in-the-set-X-

Question Number 94705 by s.ayeni14@yahoo.com last updated on 20/May/20

a set X had one more subset than set Y .

If X has 8 more subsets than Y . Find the number if element in the set X .

Commented by prakash jain last updated on 20/May/20

I think your question is not

correct

If a set has n element then it

has 2^{n} subsets .

If Y haz k elements

X has 1 more element than Y

then X has k + 1 elements

X has 8 more subsets than Y

2^{k + 1} = 2^{k} + 8

\Rightarrow k = 3

set X has k + 1 = 4 elements