Solve the pro blem. 5) In a business meeting, every person at the meeting shakes every other person's hand exactly one time. The total number of handshakes for n people at the meeting 1 is given by a -n(n - 1). Evaluate a in and interpret its meaning in the context of 12 = this problem.

Q: Determine whether the statement, 'If r > 1, nPr is less than nCr', is true or false. If the…

A: The formula of permutation and combination. Crn=n!r!n-r!Prn=n!n-r!

Q: lon of mtegradoM Sthe nte Shitch the and evaluate -2T -T

A:

Q: 21. Given that "( = "('3, the value of the integer n is 6 D 3

A: To find the value of n in the given problem, we use the definition of binomial coefficients.

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A: Given: Find the number that provides a counterexample to show that the given statement is falseFor…

Q: 1UT) 117 If the sum of m terms of an A.P. is equal to the sum of either the next n terms or the next…

A: We have to prove the given expression using the given information of arithmetic progression.

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Q: For positive integers m > n , show that -2 + n- 1 -3 + ...+ n + n-1 n - 1 + in

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Q: Which of the following is the negation of Va(x2 = 4) ? %3D

A: Given statement is ∀xx2=4

Q: ces to aCcess in When the following molecular equation is balanced using the smallest possible…

A:

Q: Write the letters (a)-(d) in an order that completes an indirect proof of the statement: If n + 6 =…

A: Given statement:                           If :                                 n2+6=32; then n≠5…

Q: 27. (xa is an odd number between and 9, inclusive}

A:

Q: determine the value of c(n,5) /p(n,5) where n can be any integer thats 5 or greater

A: Recall the following. Permutations Number of permutations of n things taken r at a time: pn,r=n!n-r!…

Q: b. The location of 0.47 is between which two hash marks on the number line? and Which of these two…

A: The location of 0.47 is between two hash marks on the number lies 0.4 and 0.5. The 0.47 closet to…

Q: 3. Which of the following is a solution to the DE y" – 9y' + 18y = 0. You may use the shortcut…

A: We have given differential equation, y'' - 9y' + 18y = 0 Here , f(D) y = 0  where , D = ddx Thus, D2…

Q: How many 12-digit numbers have all their digits in nondecreasing order? For example, 266888 is a…

A: Let the twelve digits be d1,d2,d3, d4,d5,d6,d7,d8,d9,d10,d11,d12 from left to right. Let a1=d1…

Q: How many 4-digit numbers have all their digits in nondecreasing order? For example, 266888 is a…

A: Solution:- In the given problem, we will find how many 4-digits number have all their digits in…

Q: Morgan, Talayshia 00 7. 8 9. 10 11 12 13 14 Finish 10 of 22 If each person (p) has 2 legs and each…

A:

Q: Find all the odd positive integers n which satisfy ó(n) = 20. %3D

A:

Q: 13 12 8- SOLVE FOR W.

A: Given data: The perpendicular is l=12. The hypotenuse is h=13.

Q: Suppose that the average utility bill of all California households is $92.55 with s.d. $20.07. Let ī…

A: Given : Population mean , μ = 92.55Population standard deviation , σ = 20.07Sample size, n = 50…

Q: 1. Find a counterexample to show that each statement is false: The sum of three multiples of 5 will…

A: Counterexample is to show the statement false by proving some example is wrong with the statement.…

Q: 11.) The sum of four consecutive even integers is 68. Find the four consecutive even integers. What…

A: We know that an even integer is always divisible by 2. Let the first even integer in the consecutive…

Q: Find all four-digit numbers abba with the property aa . 10b= abba if a is not equal to b.

A: We know if abcd is a four - digit number then, abcd = 1000a+100b+10c+d

Q: 18) If a and b are negative and c is positive, determine whether the following are positive or…

A:

Q: let a.b.c.d be for consecutive number show that (a.b.c.d)=1

A: Given that: let a.b.c.d be for consecutive number Show that (a.b.c.d)=1

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A: We have to find the day today. It is given that the day before two days after the day before…

Q: Which of the following means the same as p-->q? Choose one answer. q is necessary for p? p is…

A: Consider the truth table  p q p→ q T T T T F F F T T F F T p-> q is equivalent to…

Q: Express the following in the form eaz (e4-2)² + ²z = Check (ebe + c), with a, b, c EN

A:

Q: * Q1/ Choose the correct answer 1- let s be positive integer, then ()+() = 25 O 5 s O 6 s! O None of…

A: We have to simplyfing this

Q: (e) Show that every n ≥ 8 can be written as 3a+5b for some a, b € N.

A: Part e asked and answered.

Q: The solution for x =10(mod11) is: а) 5 b) 6 c) No solution d) 4

A: The objective is to find the solution for x8=10mod 11

Q: Droof that n! %3D1 オ=O K!(n=k)!

A:

Q: 37! D- Given that N= (191)(15) is an integer: i- Does the prime 11 divide N? What about the prime…

A: N = 37!19! 15!37! consist numbers that are divided by 11→11, 22 , 33→319! consist numbers that are…

Q: How would you respond to Tawana, who claims that mn is the least common multiple of m and n in every…

A: Consider two natural numbers m, n.   Then, the multiples of m are m, 2m, 3m, 4m   and the multiples…

Q: (x-2)2 – In x = 0, [1,2]

A: Sol

Q: 2. The number of ways of arrangingr objects from n objects in order is called the number of . of n…

A: Given: The number of ways of arranging r objects from n objects in order is called thenumber of…

Q: polyhomial iS equivalent t0 2n + 5)²? O 4n? + 25 O -4n? + 25 O 4n? - 20m + 25 O -4n? - 20n + 25

A: Given,  A polynomial  -2n+52  We have to find the polynomial equivalent to -2n+52

Q: 9. 2n (2) for for n ≥ 0

A: Solution

Q: I am trying to figure out how to make a know-show table for the question If m is an even integer,…

A: We can make a know-show table for the given condition.If m is an even integer, then the expression…

Q: nEZ is odd if 3kEZ: n=2k. O True O False

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

Q: 2. Use deductive reasoning to show that the following produces always the original number increased…

A: # According to the guidelines we are entitled to solve one question at a time, please resubmit the…

Q: if m is odd and n is odd, demonstrate that m*n=odd

A:

Q: The numbers 4 claims fied by the three meubers q a year family Child in a qiven (Mom,' Dad and has…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: 2 Use deductive reasoning to show that the following produces always the original number increased…

A: Pick a number  Let the  number be x  Multiply it by 4 Therefore it will be 4x

Q: Suppose that r1, 12, · · · ,x13 are natural numbers, and consider all solutions of the equation…

A: Given - Suppose that x1, x2, ....., x13 are natural numbers , and consider all solutions of the…

Q: 134. Ify = -3(x + 2)² + 1, where x is an integer, what is the greatest possible value of y? А. - В.…

A: Let's find.

Q: 2 ) + ("**) = n²- .2 2

A:

Q: 4. Give the other possible appropriate names for 2. M

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

Q: Which of the following statements are true (as n gets large or n → 0)?

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.