Ifpis a prime number, then which of the following is true. :Select one (р - 2)! 3D 1(тоd p) (р - 3)! %3D 1(тоd p) p! 1(тоd p) None of these

Q: 2-) In a factory there are (7) engineers and (5) accountants. A committee of (3) engineers and (2…

A: Given : In a factory, there are 7 engineers and 5 accountants. A committee of 3 engineers and 2…

Q: How many ways can you get a four of a kind in a five card hand? Four of a kind is where you receive…

A: The number of ways to get a four of a kind in a five card hand is,

Q: 5. What is the order of each of the following permutations? a. (124)(357) b. (124)(3567) d.…

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Q: %3D k (n+1) (k-10 (n+1) k +1 (*) n+1)

A: The correct option is the last option. The detailed solution is as follows below:

Q: (п - 2)! n! 56

A: Given- n-2!n!=156 To find- The value of n. Concept Used- r!=rr-1r-2r-3........2·1.

Q: How many numbers of four digits can be formed with the digits 0, 1, 2, 3 (repetition of digits being…

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Q: In Connecticut, auto license plates carry 3 digits followed by 3 letters. (Assume the first digit…

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Q: |P({1, 2, 3})| = ? O 3 O 6 O 8 O 9

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Q: Evaluate P( 16, 3 ) O 4116 O 3360 O 48 O 13 A special plate number is made up of 2 letters of the…

A: As per our guidelines we are suppose to answer only one question. We know that P(n,r)=n!n-r!

Q: How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters (a) is…

A: Given5 letters is "FGHIJ"No.of letters = 5

Q: An instructor gets 5 calls in 3 hours. a. How likely is it that the teacher will get exactly 10…

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Q: How do we proof that 2logn = n?

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Q: How many arrangements are there for the letters of the word "PIKACHU" with the CH together in the…

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Q: 14. A box with 12 articles contains one that is defective. In how many ways can Martin select 5…

A: Given: A box has 12 articles such that one of the article is defective. a. the defective article is…

Q: Is {3} E {0, {1}, 2, {3}} ??? O True O False

A: Concept:

Q: Bob owns 13 different books. He wants to pick out and arrange 5 of these books left-to-right on a…

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Q: Consider Fib(3) = 2. What do you notice about every third Fibonacci number, i.e. Fib (6), Fib(9),…

A: We have to find the pattern between the numbers of a Fibonacci sequence.

Q: 2{0} = {???} 2{1,2} = {???} 2{a,b,3} = {???}

A:

Q: We know: ½ of all integers are divisible by 3 and t of integers are divisible by 7. What fraction of…

A: We need to find fraction that will be divisible by 3,7 or both.

Q: if (n+5)! = 56 (n+ 3)!, then (n+ 4)! = 5040 true O false

A:

Q: Which of the following represents the graph of f(x) = 2* - 5? -7-6-5-4-3-2-1 3 4 5 6 7 -2…

A: Given: To identify graph of fx=2x-5

Q: Assume that the sum of the digits of a number, n, in base 10, equals to 16. Example: n= 97 is one…

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Q: If Eaz = 98n+2 99n+3 then 99ak %3D k-2 k-2 O None O99 98 99 O 99 100 O 98

A: The given expression is: ∑k=2nak=98n+299n+3When…

Q: Evaluate  1/2 + 1/4 + 1/8 + 1/16 + ... + 1/1024

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Q: For some particular website, the password must start with one of the letters a b or c. Then there…

A: Introduction: As the English alphabet has 26 letters from A to Z, and there are 10 digits from 0…

Q: in how many different ways could Dopey not be between Grumpy or Sleepy

A: Grumpy is second from the right and Sleepy is third from the left. Total positions where Dopey can…

Q: Assume that the sum of the digits of a number, n, in base 10, equals to 16. Example: n= 97 is one…

A: Given, the sum of the digits of a number, n, in base 10, equals to 16. Example: n= 97 is one such…

Q: s={1,2,3,4,....,15} ​A: The selected number is even. ​B: The selected number is a multiple of 4.…

A: The possible outcomes for event A are {2,4,6,8,10,12,14} i.e 7 outcomes The possible outcomes for…

Q: How many six-lettered words starting with the letter T can be made from all the letters of the word…

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.