A⊆B ----------------- |(P(A))| ≤ |(P(B))| Not sure if the bottom symbols are right but its the cardinality of power set A and the cardinality of power set B The sets are...

A⊆B ----------------- |(P(A))| ≤ |(P(B))| Not sure if the bottom symbols are right but its the cardinality of power set A and the cardinality of power set B The sets are...

I have a set C: {0,1,3) and set D: {2,8} I have the product of sets CxD and DxC So for example CxD: {(0,2) , (0,8),} {(1,2), (1,8),} {(3,2),...

Let A, B and C be different sets containing letters of the alphabet. Explain why there must exist some letter that is either contained in exactly one of the sets or contained in exactly two...

F(x) = 0 Input n For x = 1 to x = n y = x*(x+3)+2 Print y Next x 1. Determine the number of steps the program will execute before entering the loop. 2. Determine...

What I am really looking for here is an explanation as to why this process is actually able to prove that a statement is true for all values of n. Try to make your example non-mathematical and explain...

Suppose we are given the following program segment: F(x) = 0 Input n For x = 1 to x = n y = x*(x+3)+2 Print y Next x 1. Determine the number of steps...

How would you explain to this person why it is that induction actually does work. In my follow up responses to you, I may ask you questions that your friend might as in response to your explanation...

Pigeon hole principle

Twenty distinct integers are arranged in a list in a random order, such that all 20! orderings are equally likely. Going down the list, one marks every number that is larger than all earlier numbers...

security codes are made of 3 letters followed by four single digit numbers. How many different 7 character security codes can be made if none of the letters can repeat and the first digit must be...

suppose that in solving a tsp you use the cheapest link algorithm and find a cheapest link tour with a length of 21400 miles. suppose that you later find out that the length of an optimal tour is...

Determine is, in general, true or false. Recall that a universal statement is true if it is true for all possible cases while it is false if there is even one counterexample. Be prepared to...

Determine is, in general, true or false. Recall that a universal statement is true if it is true for all possible cases while it is false if there is even one counterexample. Be prepared to...

Determine is, in general, true or false. Recall that a universal statement is true if it is true for all possible cases while it is false if there is even one counterexample. Be prepared to...

Determine is, in general, true or false. Recall that a universal statement is true if it is true for all possible cases while it is false if there is even one counterexample. Be prepared...

Determine is, in general, true or false. Recall that a universal statement is true if it is true for all possible cases while it is false if there is even one counterexample. Be prepared...

let m,n belong to N, and m,n>1, prove that mn< (m+n)choose 2 Please help. Thank you!

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