6.2.2Show that if there are 30 students in the class, and at least 2 have a last name that begin with the same letter.26/30?

Q: How many possible graphs can be created on 5 distinct vertices?

A: Consider a graph of n vertices.The line connecting any two vertices of a graph is called as an edge ...

Q: Pls explain to me step by step. pls dont skip any steps. thanks

A: To study the critical points of the given system

Q: 6. A croissant shop has 7 types of croissants: plain, cherry, chocolate, almond, apple, cheese and h...

A: (a) The shop has 7 types of croissants.So n = 7. To choose one dozen croissants, so r = 12.Repetitio...

Q: z is a complex variable z=x+iy pic attached with question

A: To locate the singularities (poles, essential singularities) of the given function.

Q: Let T : R^3 --> R^3 be a linear transformation that reflects each vector x = (x1,x2 ,x3) through ...

A: Click to see the answer

Q: Prove that Z12] is a Euclidean domain

A: For finding the euclidean domain, we can find the condition of norm of N.

Q: Express K#S^2#T#2P as a connected sum of projective planes or as a connected sum of tori.

A: To express the given connected sum (of surfaces) in the required form

Q: Let A and B be sets. Prove that the intersection of A and B is is a subset of the union between A an...

A: To show that the elements which are common to both A and B belong to either A or B.

Q: prove in a field with four elements, F = {0,1,a,b}, that 1 + 1 = 0.

A: The given four elements are F = {0, 1, a, b}.Consider ab belongs to F and then there are four possib...