Give A={a,b,c},how many subsets does A have including 0?
1 answer:
Answer: 8 subsets
----------------------------------------------------------------------
----------------------------------------------------------------------
There are n = 3 elements in the given set, so there are 2^n = 2^3 = 2*2*2 = 8 subsets. Those 8 subsets are listed below
{a,b,c}
{a,b}, {a,c}, {b, c}
{a}, {b}, {c}
{ }
The first row is the original set. Any set is a subset of itself.
The second row represents subsets with exactly 2 elements.
The third row represents subsets with exactly 1 element
The fourth row is the empty set which can be written as
----------------------------------------------------------------------
----------------------------------------------------------------------
There are n = 3 elements in the given set, so there are 2^n = 2^3 = 2*2*2 = 8 subsets. Those 8 subsets are listed below
{a,b,c}
{a,b}, {a,c}, {b, c}
{a}, {b}, {c}
{ }
The first row is the original set. Any set is a subset of itself.
The second row represents subsets with exactly 2 elements.
The third row represents subsets with exactly 1 element
The fourth row is the empty set which can be written as
You might be interested in
Lucy has 20 questions in her science home work
<em><u>Solution:</u></em>
Given that,
Lucy correctly answered 70% of the questions on her science homework
She counted 14 correct answers on her paper
<em><u>To find: Number of questions in her science home work</u></em>
Let "x" be the number of questions in her science home work
From given we can say,
Lucy correctly answered 70% of questions
She counted 14 correct answers
70 % of total questions = 14 correct answers
70 % of x = 14
Thus Lucy has 20 questions in her science home work