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

Q: 16. In how many ways can a committee of 4 be formed trom 6 girls and 7 boys if there are 2 boys and…

A:

Q: If S = {a, b, c} with P(a) = 3P(b) = 6P(c), find P(a). P(a) =

A: We can find the answer as below.

Q: 11.. If n=2 and m= 3, then 2-n + 2¬m is C 3/8 d 8/3

A: note a-1 = 1/a

Q: 4. Let a, b, c E Z. If c divides a+b, then c divides both a and b.

A:

Q: (2) If BC À. then P(B| A) P(B) P(A)

A:

Q: 1. If a = 5 and b = 7, what are the possible values of m and n such that ma + nb = (5,7) a. m = 3,…

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Q: If  n(A) = 11, n(A ∪ B) = 13, and n(B) = 5,  then what is  n(A ∩ B)?

A:

Q: If n(A) = 62, n(B) = 21, and n(An B) = 3, find n(A U B).

A:

Q: If m/n=n^2-3, then m+3=?

A: Given:-  If mn=n2—3 To Find:- m+3

Q: If P (B) = ³, P(Ãn B n C) = and P(A n B n C) = 3, then P(B n C) is O 1/12 O 1/4 5/12 O 3/4

A: I have given the answer in the next step. Hope you understand that

Q: 8. Show that if a, b, c, d ∈ R, a^2 + b^2 = 1 and c^2 + d^2 = 1, then ac + bd ≤ 1.

A: Consider the given information. a2+b2=1 and c2+d2=1 As, the square of two number is always positive…

Q: If P(A) + P(B) = 0.9, P(A N B) = P(B nA) = 0.25,Then P(ANB) = 0.4 0.5 0.2 035

A: We have to find correct answer for given question .

Q: If n(A) = 45, n(B) = 23, and n(A n B) = 8, find n(A U B).

A:

Q: If ged (m,28)=4 and ged (8,7) = | ,then m- | ) ५ (012 b) 15 4)5 9 cd (ज) 2 8 ) - 4 gedt 28/-4 4 3.…

A: Yes your reasoning as well as answer is correct.

Q: Given n(U)=70​, n(A)=29​, n(B)=21​, and n(A ∩ B) =4​,  find (A∪B)'

A:

Q: If S= {a,b,c} with P(a)= 2P(b)= 4 P(c), find P(a)

A:

Q: Suppose P(A) = .2, P(B) = .5, and P(A and B) = .1. What is P(A or B)?

A:

Q: a Let c d l=- 4, then – 4, then ba = ? d c -4 12 4

A:

Q: given m=6, n=1, and v=(-4,7), what is v(n-m)?

A:

Q: If n(A) = 41, n(B) = 15, and n(A ∩ B) = 2, find n(A ∪ B).

A: We will use the following n(A U B) = n(A) + n(B) - n(A ∩ B)

Q: If n(A) = 44, n(B) = 23, and n(A ∩ B) = 8, find n(A ∪ B).

A: Explanation of the solution is given below...

Q: n(A) = 64, n(B) = 23, and n(A ∩ B) = 5, find n(A ∪ B

A: We will solve the set question.

Q: (2n)! Let a, = then 'n n!n* 1 а) а, > e 2 b) а, > e 4 с) а, > c) an e d) а, > о

A: To find -  Let an = 2n!n! nn1n, then ?

Q: If A a) N{A} b) N{B} c) N(ANB) d) N(AUB) {1,2,3,4} and B {2,4,6,8}, find: =

A: To Determine:  find                           a)NAb)NBc)NA∩Bd)NA∪B Given: we have A=1,2,3,4   and…

Q: If C(n, 5) = 252, then n = 8. Option 1 9. O 10 O O O

A: Solution

Q: 3. What is C(7,1)? А. 1 В. 7 С. 14 D. 49 А. 11 4. What is the combination of 8 objects taken 3 at a…

A:

Q: if N { A U B }= 90, N {A}= 50, and N{B}= 45, find N {A n B}

A: Given :NAUB=90  NA=50 NB=45

Q: If *C, =K "C, , then K is n-1 r+1 b) п+1 c) п-1 d)

A:

Q: 4. If 0° < a < 90° and 90° <B < 180°, then <B - a <. < a + B< and

A: Given: 0°&lt;α&lt;90° and 90°&lt;β&lt;180°. Now the minimum value of  α+β will be:…

Q: If A={B, O, A, R}, B={D, E, R}, and C={D, A, R, E}, then what is (A∩B)∪(A∩C)?

A:

Q: If n(A) = 45, n(B) = 18, and n(A ∩ B) = 7, find n(A ∪ B).

A: Given that  n(A) = 45, n(B) = 18, and n(A ∩ B) = 7. We find n(A ∪ B).

Q: 8. If P(CD) 0.85, P(C) = 0.5, P(CD) = 0.2, then P(D) is: a. 0.35 b. 0.85 C. 1.15 d. 0.55

A: 8) Given: PC∪D=0.85, PC=0.5, PC∩D=0.2 Required: To find PD

Q: If n(A) = 6, n(A ∪ B) = 8, and n(B) = 5,  then what is  n(A ∩ B)?

A: Let A and B be any two events , the union of two events is defined as,

Q: If C(n,8) = C(n,6) , then the value of n is: 14 12 8 O 6

A:

Q: Given m = 6, n = 1, and v = (-4, 7), what is v(n-m)?

A: Given :- Given m = 6, n = 1, and v = &lt;-4, 7&gt;, what is v(n-m)?

Q: If C(n,8) = C(n,6) , then the value of n is: %3D

A: Given,C(n,8) = C(n,6)C8n = C6nn!8!n-8! = n!6!n-6!…

Q: If P(A) = .6, P(B) = .3, and P(A ∩ B) = .2, then P(B | A)

A: It is given that P(A)=0.6, P(B)=0.3 and P(AꓵB)=0.2.

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…

Q: If n(A - B) - 18, n(A U B) - 70 and n(An B} - 25, then find n(B} 43 O 45 O 52 O 12

A: A set is a well-defined collection of objects, these objects are called the elements of the sets.…

Q: If n(B) = 24, n(A ∩ B) =5, and n(A ∪ B) = 42, find n(A).

A:

Q: - If p(A) = 0, p(B) = and p(A and B) = 19 100, are A and B independent?

A:

Q: If P(n, 4) = 17 160, then n = 9. 13 14 O O O C

A: Given Pn,4=17160 we know that Pn,r=n!n-r!

Q: 15. If n(A) = 43, n(B) = 20, and n(An B) = 3, find n(AU B).

A: Given that, The formula for calculating the value of nA∪B is,

Q: 3 Suppose A C B. Show that 24 C 25

A:

Q: Let A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika}, C = {Hans, Frans}.…

A: Given :A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika}, C = {Hans, Frans}

Q: If S = {a, b, c} with P(a) = 6P(b) = 7P(c), find P(a).

A: To work out the required probability , using the basic equations

Q: 5. Given P(A and B) = 0.08, P(B) = 0.85, P(B|A) = 0.54, what is P(A)

A: We will use the conditional probability formula

Q: In (R, Tµ), if A = (2,4) N (Q – Z) then A = O a. [2,4] N (Q Z) | O b. [2,4] О с. [2,4] — (3} O d. A…

A:

Q: How many different ways can three people from Dave, Dan, Julie, Amanda and Steve be selected to…

A: Here we want to know that number of ways three people chose from 5 people.