9. Given set A={1,4,5} B={2,4, 8} such that a/b on the set of natural nuber if and only if there is some elements of natural numbers aRb=(4,2), (4,4), (4,8)) aRb={(4,2), (4,5), (4,4)} aRb=((4,2), (4,4), (4,6)} O aRb=((4,2), (4,1), (4,3)

Q: How many subsets of the set {1,2,3,4,5,6,7,8} have cardinality 3 or less?

A: Here we need to find how many subsets of the set A={1, 2,3,4,5,6,7,8} have cardinality 3 or less so…

Q: Use sets  U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10},   A = {2, 4, 5, 7},  and  B = {1, 3, 4, 5, 6, 9, 10}…

A:

Q: Compute  ‹2, 0, 3› × (‹1, 1, 1› + ‹4, 0, 6›)

A:

Q: How many strings of letters from the set (A, B} have length 11 and have exactly 4 A's (repeated…

A: The Answer is given in step-2.

Q: Consider the set, S = {(5, 0, 3), (10, 0, 7), (0, 5, 0)} Answer the following questions. Your work…

A: Given set is s={(5,0,3),(10,0,7),(0,5,0)} we have to find  a) if s is linearly independent? b) does…

Q: Let S={1,2,3,4,5,6,7,8,9} How many subsets of cardinality 6 have {2,3,5} as a subset?

A:

Q: ) Using the same universal set, find the set specified by each of these bit strings. (i) 11 1100…

A: It is given that U=1, 2, 3, 4, 5, 6, 7, 8, 9, 10. We have to write the elements of the set specified…

Q: Consider the set of lattice paths from (0, 0) to (8, 8). You should know one quick formula for the…

A: Using formula,nk=n!n-k! k!i 80=8!8-0! 0!=8!8!=1ii 71=7!7-1! 1!=7×6!6!=7iii 62=6!6-2! 2!=6×5×4!4!…

Q: How many ways are there in which 2 purple stones, 1 yellow stone, 2 orange stones, and 2 red stones…

A: Given condition  :  No two stones are in the same row and no two stones are in the same column…

Q: Is the set (9, 20] under usual order ≤ well-ordered? Why?

A: We need to determine the set (9 , 20] under usual order is well - ordered or not. We know that , a…

Q: а) (A u B) = AnB b) (ANB) = AU B

A:

Q: A password is a string of 8 characters taken from the alphabet (that is, the set of 26 characters…

A: First of all, two places of the password need to be filled by only digits. As repeatation of…

Q: b) m ZABC =111° (-10x+58) D (6x+41)" C. B.

A:

Q: Let A₁ = {1, 3, 5, 7, 9, 11}, A₂ = {-2, 6, 9, 11}, A3 = {-2, 4, 6, 9, 11}. Show that a. A₁ +…

A: