Give A={a,b,c},how many subsets does A have including 0?
1 answer:
Answer: 8 subsets
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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
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+
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+
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Let
x---------> the total number of coins
we know that
512 cents-------> is equal to $5.12
1 penny is equal to $0.01
1 nickel is equal to 5 penny--------> $0.05
1 dime is equal to 2 nickel--------> $0.10
the total number of coins are 96
Divide 96 by 3 to obtain the number of coins of each type
therefore
<u>the answer is</u>
the number of penny coins are
the number of nickel coins are
the number of dimes coins are