Discrete Mathematics Answers

Consider a relation R=\ (1,1),(1, ), (0,2), (2,3) (3,1)) on the set A=\ 1,2,3\ Find transitive closure of the relation R using algorithm Warshall's

Let A = { y € Z | y = 10b - 3 for some integer b }

B = { z € Z | z = 10c + 7 for some integer c }

Prove or Disprove that A = B

Let={2,4,7},B={2,5,4} find the set A∆B

Determine the cardinality of the power set of the set {2,3,x,y,z}

Find the solution of the recurrence relation

an = 4an−1 − 3an−2 + 2

n + n + 3 , a0 = 1 and a1 = 4

State whether the null hypothesis should be rejected on the basis of given P-value. P-value 0.002, a 0.01, one-tailed test.

Determine whether each of these functions from {a,b,c,d} to itself is one-to-one. a) f(a)=b, f(b)=a, f(c)=c, f(d)=d

If the truth value of p is "false", the truth value of q is "false", and the truth value of r is "true", which of the following expressions is "false"?

There are 21 pupils in a grade 7 class. The class teacher has to choose eight of the pupils for a group that will visit Germany in three months time. In how many different ways can the teacher select pupils for the group ?

Let A = {x ∈ R : x 2 = 2} and B = {x ∈ R : x ≥ 0}.

1. Find A ∩ B.

2. Find A ∪ B.

3. Find A − B.

4. For U = R, find Ac and Bc .

5. Find N − B.