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 answer part b of this question. the answer available is incorrect and unclear.

Abdul is making a map of his neighborhood he knows the following information: his home, the middle school, and high school are all on the same street. his home, the elementry school, and his friends house are on the same street. the angle between the elementary school, middle school, and his home is congruent to the angle between his friends house, the high school, and his home. what theorem can abdul use to determine the two triangles are similar? a- side side side similarity theoremb- angle angle similarity theoremc- corresponding parts of similar triangles are congruentd- pieces of right triangles similarity theorem

Grace is standing 18 feet from a lighthouse and kelly is standing 10 feet from grace. the angle that grace looks up to see the top of the lighthouse is 45°. the angle that kelly looks up to see the top of the lighthouse is y°. find the height, h, of the lighthouse. find the angle, rounded to the nearest tenth of a degree, in which kelly looks up to the top of the lighthouse. to the nearest tenth of a degree, find the value of x° . in two or more sentences, explain your calculations

The computer that controls a bank's automatic teller machine crashes a mean of 0.6 times per day. what is the probability that, in any seven-day week, the computer will crash less than 5 times? round your answer to four decimal places