U = {1, 2, 3, 4, 5, 6, 7} A = {1, 2, 4, 5} B = {1, 3, 5, 7} How many elements are in A' ∪ B ?

Q: Assume that A = { 1, 2, 3, 5, 6 } and B = { 2, 4, 5 }. Find A O B. * A OB = { 1, 3, 4, 6 } О А@В3(1,…

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Q: How many ways are there to distribute eight balls into six distinct boxes with at least one ball in…

A: The balls are identical. In this case there are 8 balls and 6 boxes to be placed, so each box can be…

Q: In how many ways can 3 Americans, 4 Frenchmen, 4 Danes and 2 Italians be seated in a row so that…

A: Choose the order of the 4 nationalities in 4! ways. Choose the order of the 3 Americans in 3! ways.…

Q: At a computer store, a customer is considering 7 different computers, 8 different monitors, 9…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Let 100 out of the 120 students of mathematics at a college take at least one of the languages…

A: Let numbers of students taking mathematics = M Hindi = H English = E German = G

Q: Assume that there are 11 girls and 9 boys in the neighborhood club, and a team of 6 is to be…

A: As there are 11 girls and 9 boys now if a team of 6 is to be selected. 1) Number of different teams…

Q: 1.Fin ll ales of such tha M1+2,5+4) (3+2,6- i).

A: Given data is: λ1+2i,5+4i=3+2i,6-i

Q: Assume that there are 9 girls and 8 boys in the neighborhood club, and a team of 5 is to be…

A: As there are 9 girls and 8 boys now if a team of 5 is to be selected.1) Number of different teams…

Q: At a blood drive, 6 donors with type O+ blood, 5 donors with type A+ blood, and 3 donors with type…

A: Given that, 6 donors with O positive blood 5 donors with A positive blood 3 donors with B positive…

Q: Assume that there are 10 girls and 12 boys in the neighborhood club, and a team of 7 is to be…

A: Assume that there are 10 girls and 12 boys in the neighborhood club, and a team of 7 is to be…

Q: A box contain 8 red and 6 green balls. In how many ways can 3 balls be drawn such that 2 is red and…

A: GivenA box containNo.of red balls = 8No.of green balls = 6Total no.of balls = 14

Q: Find the number of permutations of the letters j, k, l, m, n, o and p taken 4 at a time

A: The given letters are j, k, l, m, n, o and p. 4 letters are taken at a time.

Q: In how many ways can 8 patients be assigned to 1 private (allowing 1 person only), 1 semi-…

A: here given , 8 patients be assigned to 1 private (allowing 1 person only), 1 semi private(allowing…

Q: Suppose u (3, 2, – 4) and ī = (-5, –4, –4). Then: | u + v=| v= u= 7u= 2u 3v=

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Q: Find projvu.u = (0, −1, 2), v = (3, 2, 4)

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Q: Let A, = {..., – 2, – 1,0,1,..., i}. Find ỦA, i31

A: First we find A1, A2, A3,...An, then find union as in next step.

Q: Suppose = (4, –4, 1) and i = (3, 1, –4). Then ux v is and ひ×u is

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Q: The number of ways in which a committee of 6 members can be selected from 6 male and 4 female…

A: We have given that 6 male and 4 female parliamentarians. And we need to select 6 members for…

Q: Eleven graduate students have applied for two available teaching assistantships. In how many ways…

A: In this problem order for the selection is not mentioned therefore we can use combination for award…

Q: Assume that there are 11 girls and 9 boys in the neighborhood club, and a team of 8 is to be…

A: It is the question of permutation and combination. And the whole solution is shown below.

Q: How many permutations of {1,2,3,4,5,6,7} have exactly one element fixed?

A: Using inclusion-exclusion principle to compute the given permutation: There are 71·6! ways to select…

Q: From 5 IIT, 4 MTIM students, and 3 UP students, a committee consisting of 3 IIT, 2 MTIM and 1 UP…

A: Number of IIT students = 5 Number of MTIM students = 4 Number of UP students = 3   A committee is to…

Q: find the composition, RoS, where S= {(1,a),(4,a),(5,b),(2,c),(5,c),(3,d)} with…

A: Consider the sets, S=(1,a), (4, a), (5, b), (2, c), (5, c), (3, d)R={(a, x), (a, y), (b, x), (c, z),…

Q: Find the number of distinguishable permutations of the group of letters. Z, V, C, C, V, C, C, V, M,…

A: Letter   Frequency---------  ----------Z                1V                4C                4M…

Q: At a blood drive, 5 donors with type O + blood, 5 donors with type A + blood, and 2 donors with type…

A: Solution-: Given: Number of donors with type O+ =5           Number of donors with type A+ =5…

Q: 17. a, = 9, a, =17; S, =9, az 18. a, = 32, a, = 48; S, %3D 19. 4, =-8, a, , = 7; %3D 20. a, =6, a, =…

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Q: Let u = (-7, 1, 5) and 7 = (5, 3, 4). —

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Q: At a blood drive, 4 donors with type 0+ blood, 3 donors with type A+ blood, and 3 donors with type…

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Q: Find the number of distinguishable permutations of: 6 Ds, 5 Js, and 2 Os

A: our objective is to find the no. of permutations

Q: At a blood drive, 6 donors with type O+ blood, 5 donors with type A+ blood, and 3 donors with type B…

A: Given that, 6 donors with O positive blood 5 donors with A positive blood 3 donors with B positive…

Q: Find the number of permutations x1, x2, x3, x4, x5,  of numbers 1, 2, 3, 4, 5 such that the sum of…

A: A number is divisible by 3 when one of the factors of the number is 3. Thus the sum…

Q: In a group of 25 students, 15 are enrolled in Lab, 8 are enrolled in EconTwo, and 5 are neither…

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Q: survey of 50 musicians showed that: 30 play the piano, 20 play the guitar, 20 play the violin, 12…

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Q: A committee of 5 consisting of 3 girls and 2 boys is to be chosen from a class with 15 girls and 10…

A: Given: Total Number of Girls=15Total Number of Boys=10Commitee required 5 candidate in whichNumber…

Q: Let S={1,3,5,...; 2,4,6, ...}, then s (7) = %3D .a {1,2,3,4,5,6} .b {1,3} .C {1,3,5,...} .d {1,3,5}

A: Given a statement

Q: 8. There are three places P, Q and R such that 3 roads connects P and Q and 4 roads connects Q and…

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Q: In how many ways can 3 men and 3 women arrange themselves in a row for picture taking if the men and…

A: Given: Number of men is, M=3. Number of women is, W=3. The objective is to find the number of ways…

Q: 4. Consider a bag containing four red marbles, two green ones, one transparent one, three yellow…

A: Given that there are 4 red marbles, 2 green,1 transparent, 3 yellow, and 2 orange marbles. So there…

Q: With U={1,2,3,..,9,10} and A={1,2,3,4,5}, B={1,2,4,8}, C={1,2,3,5,7}, D={2,4,6,8}. Determine(B-C)-D…

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Q: If A={f,i,l,m,o,g,r,a,p,h,y}A={f,i,l,m,o,g,r,a,p,h,y} and…

A: Given, A={f,i,l,m,o,g,r,a,p,h,y} U={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z} A′=?

Q: "4, and us.) v = (5, 2, –12, 13, 6) u = (1, 2, –3, 4, –1) u2 (1, 2, 0, 2, 1) U3 = (0, 1, 1, 1, -4)…

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Q: How many permutations of {1, 2, 3, 4, 5, 6, 7} leave exactly 1 element fixed?

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Q: a) From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at…

A: Given that from a group of 7 men and 6 women, five persons are to be selected to form a committee so…

Q: See picture

A: It is given that there are 10 different computers, 9 different monitors,7 different printers are 4…

Q: Assume that A = { 1, 2, 3, 6, 8 } and B = { 1, 4, 5, 6, 7 }. Find B - A. * B-A = { 4, 5, 7 } B -A =…

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Q: Assume that A ={ 1, 2, 4, 6 } and B = { 2, 3, 6, 9 }. Find A - B. * O A -B = { 3, 9} O A -B = { 1,…

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Q: How many permutations of {1, 2, 3, 4, 5, 6, 7, 8) leave exactly 1 element fixed?

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

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