So is it A, B, or C and fill in one the missing in whichever the correct letter is.

Q: If n(A ∪ B) = 60, n(A ∩ B) = 40, and n(A) = n(B),find n(A).

A: Givenn(A∪B)=60n(A∩B)=40n(A)=n(B)To find n(A)

Q: Mean = 60, Z = -2, SD = 15, x = ? %3D O -2 30 O 56 O 90 There is not enough information given to…

A: We know, z=x-6015Here, z=-2⇒-2=x-6015⇒-30=x-60⇒x=30

Q: Find the exact value of the expression.

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

Q: If n is a natural number, the number 3dn+4 – 4³n+3 is divisible by: A) 14 в 15 C 16 D 17

A: Given :n is natural number, the number 34n÷4-43n÷3

Q: 26 33

A:

Q: Assume we write 50 to the base 4, such that 50 (x)4, then x = Answer:

A: Assume that if we convert 50 to base 4 such that 50=(x)4. We need to find x.

Q: 7 4** 4 4 ect the correct choice below and, if necessary, fill in the ans

A: This is the given equation 3x4+54=-74 3x4=-74-54 3x4=-124 3x=-12 x=-123 x=-4

Q: Ex. 5 If a, b, and c are any integer values except zero, then the expression ap + bp +c will always,…

A:

Q: Given following assignment x1 = 8; x2 = x1; What is the value of x2? 4 garbage value 8

A: Given ,  x1 = 8 x2 = x1  We have to find value of x2

Q: Use the given information to find m21. m24 = 117° m21 = (2x)° m2= (x + 21)° m21= 4.

A:

Q: If 0≤θ<2π and 4cos^2θ+3=7, determine the values of θ.

A: GIven that 4 cos2 θ + 3 = 7, where θ varies 0 ≤ θ &lt; 2π We have to determine the value of θ by…

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: Mean = 60, Z = -2, SD = 15, x = ? %3D O-2 O 15 O 30 O 90 There is not enough information given to…

A: Z-score converts individual scores into a standard form. The value of the z-score tells us how many…

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

A: We will solve the set question.

Q: If AABC = ADEF, and m²A = (x + 30)°, m¿C = 45°, and mzD = 80°, what is the m/A? O A. 15° о в. 45° С.…

A:

Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: In(a³b') (c) In(bc) - 3 1 а (d) (In…

A:

Q: If nPr = 3024 and nCr = 126 then find n and r.

A:

Q: If a, b, and c are real numbers, the associative property of multiplication states that = a(bc).

A: Given a, b, c are real numbers.

Q: In a right AABC. LABC is 90° and AC is 4 units. If P is on AC such that BP = 1 and BPLAC, which of…

A:

Q: If n(A) = 46, n(B) = 19, and n(A ∩ B) = 5, find n(A ∪ B).

A: Using , n(A u B) = n(A) + n(B) - n(A intersection B),

Q: P(A/B) + P(A/BC) = 1 Select one: True O False

A:

Q: If n(A) = 67, n(8) = 15, and n(A N B) = 9, find n(A U B).

A: Topic- sets

Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: 3 a (a) In 64cl (b) In V/bªc²a! 2

A: Given that: lna=2, lnb=3, lnc=5.(a)lna3b4c1(b)lnb4c2a(c)ln(a3b4)ln(bc)1       NOTE: As per our…

Q: How many different 2-digits numbers can be formed from the digits in the number 235? O A. 6 O B. 3 O…

A: We have to find no of digit...

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: If ST = 12 and RT = 67, find RS. Use the number line below. R RS = (Type an integer e or a decimal.)

A:

Q: Let p = 3, q = 11, ? = 20, N = 33, e = 3, and d =7. Decrypt: 6 13 1

A:

Q: Select each expression that is equivalent to 36. O 9 * 3 +9 O 37 - 9 +3 O 3(23 - 13) O 15 * 2 + 2 *…

A: Given, expression whose value is 36.

Q: If In a = 2, In b = 3, and In c = 5, evaluate the following: a4 (a) In 63c4 Preview (b) In Va*b*cT…

A:

Q: If ST = 16 and RT = 39 , find RS. Use the number line below. R RS = (Type an integer or a decimal.)

A: Given: A number line where RT=39 and ST=16 Now from the number line it can be observed that:…

Q: If In a = 2, In b = 3, and In c = 5, evaluate the following: %3| (a) In 64c2 = (b) In va'b*c³

A:

Q: Select the expressions that are equivalent to (5v + 7) + (6v + 6). 11v + 13

A: (5v+7)+(6v+6) =5v+7+6v+6 =11v+13 hence 1st option is correct

Q: In ʘ O (attached), CA = CB and m&lt;AOB = 68 1. Find m&lt;C.

A: Recall the Theorem: The angle subtended by an arc of a circle at its center is twice of the angle it…

Q: If the following letters are (A B C D E M K L) how many four-letter words can be formed from these…

A: Total number of letters are 8 and four letter words are to be made. Then,…

Q: How many unique codes are possibly formed from two characters, where the first character can be 5 to…

A:

Q: If 8m = 11n, then = ?

A:

Q: If the number ordered is O, the number backordered is B, and the number shipped is S, which formula…

A: S = number of items shipped O = number of ordered items B = number of items backordered.

Q: If n(A) = 46, n(B) = 21, and n(A ∩ B) = 6, find n(A ∪ B).

A:

Q: is the cube ro 20 20| o is 1

A:

Q: If n(A) = 40, n(B) = 24, and n(A ∩ B) = 1, find n(A ∪ B).

A:

Q: Find the missing number: 1/4 X 1/4 X 1/4 = 4 X 4 X ? A) 1/1024 B) 1/64 C) 1/4 D) 4

A: A detailed solution is given below.

Q: If ?(?∩?)=0.18, and ?(?|?)=0.3, then  ?(?)=

A: Given that  P(A∩B)=0.18, and P(A|B)=0.3, We want to find  P(B)= ?

Q: If A = {vowels} and B {letters in the word “spare"}, = find: a) N{A} b) N{B} c) N(AN B) d) N(AUB)

A:

Q: If a, b, and c are real numbers, the distributive property states that a(b + c) =

A: If a,b and c are real numbers then The distributive property states that ab+c=ab+ac

Q: The value of 5149 in U7 is O 5 1 4 O None of the choices Оз

A:

Q: Determine the missing letter/letters. CSD ETF GUH IVJ ?

A:

Q: If n(A) = 101, n(A ∪ B) = 144, and n(A ∩ B) = 49, find n(B).

A:

Q: (2) 13 Place all answers in the following blank, separated by commas:

A:

Q: The number of elements in As is 51 120 60 O 25

A: We can answer it as below

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.