1. Evaluate C(15,10)* 3003 2003 1003

Q: Find n(A) of the following set A. {101, 102, 103, 104,...121}

A: We have to find the total number of elements in set A.

Q: P[98<112] =

A: 98 is less than 112. The relation 98&lt;112 is true.

Q: 3.73 How many seven-digit numbers with different digits belonging to the set ${3,4,5,6,7,8,9}$ and…

A:

Q: Let X be a drug against COVID-19. The effectiveness of the drug is equal to the sum of the first 7…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: 100 Σ (3* + 2k - 1) k=1

A: ∑k=11003k+2k-1

Q: 7. A company is forming passcodes for its employees. Each code will consist of 4 letters, with no…

A:

Q: Use the QR factorization to solve the system Ax %3D

A:

Q: The Social Security Administration documented the marriage year of various couples, along with the…

A: Data is given for 247 married couples on the basis of marriage year and no. of children they have .…

Q: 30. Evaluate the expression when x = 3; 2x2 - 5 * %3D 31 12 O 7 13 O O

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Integrate: / 82

A: Given integration is : ∫8x3lnxdx  To find the value of integration.

Q: , Let a be a positive integer, where the positive difference of every two digits of a in base 10 are…

A: Here, For 1113,     | 1-1 | =0 , | 1-3 | = |-2| = 2 For 2000,     |2-0|= 2, |0-0|= 0 For 2022,…

Q: 3. Show that the weighted arithmetic mean of first n natural numbers whose weights are equal to the…

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Q: 8. Find the sum of all integers between 20 and 29, including these.

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Q: Evaluate 10!/9!, (k + 2)!/k!, and k!/(k + 1)!

A: 10!9!,k+2!k!  and k!k+1!

Q: 3. Detemine L i2 l(s+2)*S

A: We have to find the inverse Laplace transformation.

Q: Evaluate /x* lIn(10 x)dx x* In(10 x) + In(10 x) – + c 25 x5 5 In(10 x) * + c | 5 25 In(10 x) ,5 +x10…

A: To evaluate the below integral. ∫ x4ln10xdx

Q: Find the value of 14!/5!9!

A: 14!5!9!

Q: Given the daily new COVID-19 cases from February 1 to March 14, 2022, what values are needed to…

A:

Q: How many different ways can a club of 25 members fill the positions of president, vice president and…

A: Given: The positions to be filled by the club members are president, vice president, and Secretary.…

Q: A warehouse tracks inventory using stock codes consisting of a sequence of 5 uppercase letters…

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Q: 8. 8) Evaluate s k=1

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Q: Compute the number of ways of selecting a president, a vice president, a secretary, and a treasurer…

A: The number of ways to select a president, a vice president, a secretary, and a treasurer from a…

Q: (8!)! x! = 8! Find x=?

A: given x! = 8!!8!= 4032040320= 40320*40319!40320we know that 8! = 40320

Q: The data in the spreadsheet show that you divided the 40 teachers at your school into three types:…

A: One way ANOVA Formulae: Source of Variation Degrees of freedom DF Sum of squares SS Mean…

Q: ) Between 16 and 20 (including 16 and 20) of them are repeat offenders

A:

Q: 1.- Let x* be defined as one more than the number of digits in the integer x. For example, 150* = 3…

A: topic - linear equation in one variable

Q: The following table shows the number of new (single-unit) houses started, in thousands, in the…

A:

Q: 9!* 2020! / 10! * 2019! =

A: We have to evaluate: 9!×2020!10!×2019! According to factorial rule: n!=nn-1n-2.....1 or,…

Q: How many six-digit even numbers more than 200,000 can be formed using all of the digits 1, 1, 2, 2,…

A: Step 1: Step 2: Step 3: Step 4:

Q: he table below categorizes 10,614,000 office visits to cardiovascular disease specialists in the…

A: The data for duration in minutes and the number of visits in thousands is given as:Duration (in…

Q: The following table shows the waiting times of 135 aircrafts and their frequencies at a certain…

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Q: 12!/35

A: The solution of given problem is given as follows :

Q: Suppose that an examination was hard and most students received extremely low grade on it. This is…

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Q: P₂.92 n₁ n₂ P₁ = 0.0097, ₁0.9903, p = 0.0014, and ₂ = 0.9986. *P1 91 Evaluate E=z + for z = 2.33, n₁…

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Q: Find a 129 given that #0 = .75 *1 = .75 (n-1) 1 æn = * (n-2) and enter your answer correct to 10…

A: The general formula can be used to perform the iterations. The iterations are done to calculate the…

Q: 12. Let the "Fibonacci-2" numbers g, be defined as follows: 91 = 2, 92 = 2, and gn+2 =( In+1)( In)…

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Q: 1- 15 S² + 45+13

A:

Q: 13. Let S be the set of 7-digit numbers (neN: 106 ≤ n < 107). (a) Find (S). (b) How many members of…

A: As per the policy, we are solving three parts. Please repost it and specify which part is to be…

Q: The following table shows the number of new (single-unit) houses started, in thousands, in the…

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.