f M = { 1,2,3} and N={3,4,5}, then M u N

Q: A manager wants to award prizes for 1", 2nd and 3rd to his team members according to number of new…

A: We have given that the team is formed of 25 members and the prizes be awarded.    Permutation…

Q: 11. If an+1 = 2an + 3 and ao = 1, then a7 = O 513 O 509 O 487 496

A: We will find a7.

Q: In (IR, Tu), if A = (3,5) n (Q – N) then A %3D

A: Given that in the topological space ℝ, τu ( the usual topological space )            A=3,5∩ℚ-ℕ Then…

Q: Q/I A box contains 5 black balls and 5 white balls. In how many ways 5 balls can be selected from…

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Q: Let S = {0, 1, 5, 4, 7}, number of subsets of S is 32Q, then find the value of Q.

A: S is a set with cardinality 5 and given he number of subsets of S is 32Q, then we have to find the…

Q: 5 21 197 Determine if w = -3 is in Nul A, where A =| 13 23 2 8 14

A: If the value of A . w=0 then w is in Nul A. Otherwise it is not.

Q: Answer the three parts A,B,C of the permutations and combinations chapter questions with their…

A: We know that number of subset of a set containing n elements is 2n. Also, nCr = n!r!n-r!

Q: |P({1, 2, 3})| = ? O 3 O 6 O 8 O 9

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Q: 0-2 1 -2 0 0 0 duced echelon form of the augmented matrix [A b] i 1 (a) Express the general solution…

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Q: If i = (1, 2, –3) and = (-2,0, 4), then a. Jis А. — 10 В. 10 С. 14 D. – 14 O E. – 12k

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Q: The sum of the first n natural numbers, S = 1 + 2 + 3 + first n natural numbers is 171, determine…

A: Consider the given information:

Q: If M=N+3 N- 3 %3D then N = 3(M + 1) M-1 A. N = N = 3M + 1 M-1 В. M+ 3 С. N = M - 3 зм + 3 M+1 D. N =

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Q: If A= {1,2,3,4,5,6,7,8}    B= {1,2,3,4,5}    C= {7,8,9,10}    U= {1,2,3,4,5,6,7,8,9,10} What is B’…

A: Universal set: The set containing all the elements of the related set without the repetition of…

Q: If P( A U B) = 0.5 , P (B) = 0.2, P (A)=0.4 then || P(B|A) Is?

A: GivenP(A∪B)=0.5P(B)=0.2P(A)=0.4

Q: 4. Suppose that P(A)=0.7 and P(B)= 0.5, and P([AUBY) =0.1. Find a) P(AOB) b) P(A| B) c) P(B|A)

A: Given data,P(A)=0.7P(B)=0.5P(A∪B)' =0.1P(A∪B)=1-P(A∪B)'=1-0.1=0.9

Q: If x[n]= {2,0,3,4}, x[(n-2),]= O a. {3,4,2,0} O b. {3,0,2,4} c. (2,4,3,0} O C.

A: The sequence is xn=2, 0, 3, 4. Then,  x0=2x1=0x2=3x3=4 Now, consider the sequence xn-24. Then, we…

Q: If A+B=X and A-B=Y then...?

A: System of linear equations,

Q: Suppose that P(A|B) = 0.3, P(A n Bº) = 0.10 and P(A) = 0.25. What is P(B) =? O a. 0,1 O b. 0,5 О с.…

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Q: 2. If n(A-B)-18, n(A U B)-70 and n(A N B)- 25, then find n(B). a. 50 b. 48 c. 52 d. 60

A: This question is related to set theory.

Q: How many ways are there for 8 men and 5 women to stand in a line, so that no two women stand next to…

A:

Q: 1. Find P (AN B).

A: Here use basic probability rule

Q: 4. Define = {1,2,3,4,5,6} and A₁ = {i} for i = 1,2, ...,6, B = {1,4}, C = {2,3,4}, D = {1,2,3} and E…

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Q: 2. Find n and a if: Inx² + In2= In ax"+1

A: Given equation is lnx2+ln2=lnaxn+1. We have to find the value of n and a. Used formula: lnmn=nlnm…

Q: 2. If I'faclde- and S'fordx.

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Q: If P(A) = 3/4 and P(B) = 5/6, then P(A and B) = а. %3D

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Q: (a) If A₁ = {-i, -(i − 1), . . .−3,−2,−1, 0, 1, 2 }, for i = 1, 2, 3,. . . find (i) Un A6 and (ii)…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: V5n – 10 = n- 2

A: Square both sides and solve the quadratic equation to get the value of n.

Q: 6. Given i [2, – 5Jand i [- 7,2] find C.

A: Given v→=[-7,2]We know that magnitude of vector [a,b] is a2+b2

Q: If S = 1+2+4+ 8+ 16+ 32 + 64 + ... + 1024, then S = 2" – 1 where n =

A: Given: ∑r=0602r=2n-1 S=1+2+4+8+16+32+64+...+1024 Then S=2n-1

Q: I have a bag containing 40 blue marbles and 60 red marbles. I choose 4 marbles (without replacement)…

A:

Q: Suppose that you have 7 cards. 4 are red and 3 are black. The cards are well shuffled. You randomly…

A: Note - As we are authorized to answer only three sub parts at a time, so kindly send another request…

Q: If n(A) = 10, n(B) = 14 and n(AB) = 3, what is n(AUB)?

A: Given that nA=10, nB=14 and nA∩B=3. To find the value of nA∪B.

Q: 15. eshows a eetions elation beweenand Whchof these -3 -5 n = -2m + 3 n = 2m + 3 Option O otona n =…

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Q: Suppose that for s = {1,2,3,4,5,6,7,8}, p(1) = P(2) = p(3)=P(6) = 0.10 p(4) = p(7) = p(8) = 0.08…

A: Given that, s=1,2,3,4,5,6,7,8p1=p2=p3=p6=0.10p4=p7=p8=0.08p5=0.36 Then with A=1,3,5,6 and…

Q: Match the sequence with its graph. 11 1" Select one:

A:

Q: If S =1+5+9+ 13 + 17+ 21 + ... + 101, then 25 S =(4r + k) r=0 where k =

A: c=3.   See the attachment

Q: 14. (a) Is 2 C {2, 4, 6}? (b) Is {3} E {1, 3, 5}?

A: Introduction: Subsets are a subset of the mathematical concept of Sets. A set is a collection of…