Problem 1 - LetN andk be positive integers withN >k. Let A, B, C, and D be the total number of ways to selectk objects fromN under the corresponding scenarios in the cross-tabulation below.

	No Replacement Allowed	Replacement Allowed
Distinguish Orderings	A	B
Do not Distinguish Orderings	C	D

In each of the parts below, indicate the direction of the inequality. Justify your answer either with an algebraic or an intuitive-based argument.

(a) Circle one: A B or A B

Justification

(b) Circle one: A C or A C

Justification

(c) Circle one: C D or C D

Justification

(d) Circle one: B D or B D

Justification

(e) Circle one: B C or B C

Justification