Discrete Mathematics Answers

The argument is p→~q,~r→p,q|–r in true table in mathematical foundations of computer science

Let R={(1,2),(1,4),(2,1),(2,4),(3,2),(3,4)}

R={(1,2),(1,4),(2,1),(2,4),(3,2),(3,4)}

is a relation on set A={1,2,3,4}

A={1,2,3,4}

Suppose a Rn b

means that there is a path of length n from a

to b

Which of the elements are R3?

Suppose there are 10 male and 6 female professors to teach Discrete mathematics. In how

many ways a student can choose Discrete mathematics professor.

list the ordered pairs in the equivalence relations R induced by these partitions of p { {1} , {3} , { 2,4,5,6} rt he set of { 1,2,3,4,5,6}

A committee of 8 is to be formed from 16 men and 10 women.

In how many ways can the committee be formed if

i) there are no restrictions.

ii) there must be 4 men and 4 women.

iii) there should be an even number of women.

iv) there are more women than men.

v) there are atleast 6 men.

A committee of 8 is to be formed from 16 men and 10 women.

In how many ways can the committee be formed if

i) there are no restrictions.

ii) there must be 4 men and 4 women.

iii) there should be an even number of women.

iv) there are more women than men.

v) there are atleast 6 men.

 Let an denote the number of surjective (onto) functions f : {1, 2, . . . , n} −→

{1, 2, 3} such that f(1) < f(2). Give a Θ estimate for an.

An engineer designs at least one robot a day for 30 days. If a total of 45

robots have been designed, then show that there must have been a series of consecutive

days when exactly 14 robots were designed.

I come to class whenever there is going to be a quiz this statement is inverse converse and contarpositve?