Discrete Math HELP!
1 answer:
Answer with Step-by-step explanation:
1.Let p={Aaron , bob ,phill,john,chad}
Number of elements in set p=5
Formula : Number of subset of the set which contain n elements
Total number of subset =
The subsets which contain neither Aaron nor bob are
{phil},{john},{chad},{phil,john},{phil,chad},{john,chad},{phil,john,chad}
There are eight subsets which do not contain neither Aaron nor bob .
Answer given by the method
Where 5= Total number of elements
2= Number of elements in subsets which do not contain
Therefore,answer is correct.
2.A={1,2,3,4,5,6,7}
There are total seven elements
Therefore, total number of subsets =
We have to find the number of subsets of A which include 2,4 and 6.
The number of subsets which contain {2,4, 6}
{2,4,6},{2,4,6,1},{2,4,6,3},{2,4,6,5},{2,4,6,7},{1,2,3,4,6},{1,2,4,5,6},{1,2,4,6,7},{2,4,5,6,7},{2,3,4,5,6},{2,3,4,6,7},{1,2,3,4,5,6},{2,3,4,5,6,7},{1,3,4,5,6,7},{1,2,4,5,6,7},{1,2,3,5,6,7},{1,2,3,4,5,7},{1,2,3,4,5,6,7}
Total number of subsets which contain {2,4,6} are eighteen.
Answer given by
The answer is false.
We can not use these method for calculating number of subsets which contain{2,4,6}.
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For this case we define the following variables:
x: Number of party dresses
y: Number of suits
You have 30 hours per week to cut, that is, the first equation is given by:
It is also known that 25 hours per week are available for sewing, that is:
It has a system of two equations with two unknowns, solving we have:
Multiplying the second equation by -1:
Adding up:
Substituting x in the first equation:
Clearing and:
Thus, per week, the designer can produce 5 party dresses and 5 suits working at her maximum capacity.
Answer:
5 Party dresses
5 Suits