Let S be a set of n numbers. Let X be the set of all subsets of S of size k, and let Y be the set of all ordered k-tuples (s1, s2, , sk) such that s1 < s2 < < sk. That is, X = {{s1, s2, , sk} | si is in S and all si's are distinct}, and Y = {(s1, s2, , sk) | si is in S and s1 < s2 < < sk}. (a) Define a one-to-one correspondence f : X → Y. Explain why f is one-to-one and onto. (b) Determine |X| and |Y|.

|X| =

|Y| =

Can someone please answer part b of this question. The answer available is incorrect and unclear.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

answer: 4 (:

step-by-step explanation:

let's fu(!

step-by-step explanation:

just keep asking questions until you have a better understanding.

step-by-step explanation: