2. Let S be the set [9] [1.2. (a) How many derangements 9). has the set S?

Q: 5. (a) Let A ={1,2,3,4,5} and B = {2,3,4}. How many sets C' have the property that C C A and BC C…

A: (a) The given set A is as follows. A=1,2,3,4,5 The subsets of A such that B is a subset of it is as…

Q: 2. Let S be the set [9] = {1.2..9}. 1 (D) How many derangements of S have 9 in the 2nd position and…

A: We have the set 9=1,2,...,9 We need to find the number of derangements. There are 9 places to fill…

Q: How many derangements has the set. S? How many derangements of S have 9 in the 2nd position and 1 in…

A: Given, Set S:1,2,.....9 Derangement is a permutation of the elements of a set, such that no element…

Q: Let's compare the cardinalities of N and I.

A: We will find out the required solution.

Q: 2.5.22. Let A, B,C be three sets. Prove that if A \ B C C, then A \C C B.

A: Given: Let A,B,C be the three sets. A-B contained in C

Q: . How many Boolean functions are there of degree 7? Explain.

A:

Q: 3. Let U = {p, q, r, s, t}, D = {p, r, s, t}, E = {q, s}, F = {p,t} and G = {s}. Determine whether…

A: Given,  U={p,q,r,s,t} , D={p,r,s,t} , E={q,s} , F={p,t} and G={s} . To determine whether the given…

Q: 3 Shade the set (R nc)UT. =(RAC) UT and C-(RUT)

A:

Q: How many relations are there on the set S = {2, 4, 6}?

A: We know that, the number of relations of a set containing n element is 2n^2. Given that S = {2,4,6}

Q: 3. How many permutations of the letters ABCDEFGHI contain the strings ABC and GHI (1 Point) O P…

A:

Q: d) The set E = (-1,0) U (0, 1] is an open set. %3D

A: Given set is E = (-1, 0) ∪ (0, 1]

Q: 2. Suppose N= {1,2,3...} is the universal set and A = {n :ns7} B = {n : 3s ns 10} %3D C =…

A:

Q: 2. Let S = {0, 1, 2, 3, 4} and T = {0, 2, 4). (a) How many ordered pairs are in S × T? T × S? (b)…

A: 12. Given that,                    S=0, 1, 2, 3, 4  & T=0, 2, 4.

Q: 1. How many ways can you choose 4 numbers from the set p = {4, 6, 8, 10, 12} or 3 numbers from the…

A:

Q: Let D (2,5,7}, E= (2,4,5,6) andF=(1,3,4,5,7). List the elements in the set (D UE)N F. (DUE)NF = }…

A:

Q: 6. Which is is true for any set S of real numbers? * S has a least upper bound. S has a greatest…

A:

Q: List the subsets of set Q given that Q={w,x,y,z}. no element How many such subsets? one element only…

A: Please see the below picture for detailed solution.

Q: 9. (x + 9)³

A: This question is related to algebra. Solve in step 2.

Q: VII.1. Describe the set (R × Z) ∩ (Z × R)

A: We have to describe the set (R × Z) ∩ (Z × R).

Q: 3. Let A, B, C, and D be sets. (a) Prove that (A × C) n (B × D) = (An B) × (Cn D).

A: Let A, B, C, and D be sets.To prove the equality, we have to show that, LHS is a subset of RHS and…

Q: for any sets A and B (AUB)'=A'nB'

A: We prove that for any sets A and B (AUB)'=A'nB'.

Q: 13. consider the following sets: U={-5,-4,-3,-2,-1,0,1,2,3,4,5}; A={x: x^2=25} ;B={-5,0,1,2,3,4,5};…

A: Given that U=-5,-4,-3,-2,-1,0,1,2,3,4,5 A=x:x2=25 B=-5,0,1,2,3,4,5 C=x:x2-5x+6=0 We have to find A∩B

Q: Which of the sets below is EQUIVALENT to { f, l, a, v, o, r }?

A: Two sets are equivalent then number of elements in both sets are equal In the given set {f, l, a, v,…

Q: Find the set (AnC)'. U= {1, 2, 3, 4, 5, 6, 7} A= {1, 2, 4, 7} C= {1, 3, 5, 6, 7}

A:

Q: 9. Which is true for a nonempty subset S of R? * If S is nonempty and sup S exists, then S is…

A: We want to find true option.