44. The number n can be expressed as the product of four prime numbers, exactly three of which are the same. How many different positive divisors does n have, including n and 1 ? (A) Four (В) Five (C) Six (D) Eight (E) Sixteen

Q: In how many ways can a family of seven be seated at a round table if two brothers must sit together?…

A:

Q: 8. Given 1, 2, 3, 4, 5, 6, 7, 0, 9, how many 4-digit numbers can be formed if it must be divisible…

A: We have to solve question number 8

Q: 23. How many even three digit numbers greater than 400 can be formed from 1, 2, 3, 4, 5, 6, 7, 8,…

A: Given that, 23. How many even three digit numbers greater than 400 can be formed from 1, 2, 3, 4, 5,…

Q: How many integers between 0 and 500: 1. Have distinct digits? 2. Are divisible by 3? 3. Are…

A: We will answer the first three subparts as per our guideline. Please resubmit the other subparts…

Q: 3. Use your result above to show that the number 1,111,111,113 is divisible by 3 while the number…

A:

Q: A  box contains 8 ten-peso coins and 5 five-peso coins. In how many ways can 3 coins be drawn in…

A: a) The formula for combination is nCr= n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: (7) Evaluate (" for n = 44 and r = 3.

A:

Q: 7. What number must be added to the product of 5 and 1 to get 10-? 8. Add to the quotient of 4…

A: Topic = Algebra

Q: 7. Find the sum of the numbers between 1 and 25 which are divisible by 3.

A:

Q: How many integers between 1 and 822 inclusive are divisible by 5 or 3?

A:

Q: 5.8 Evaluate n=1 2" -

A:

Q: 1. How many numbers between 500 and 2100 are: a. Divisible by 3? b. Divisible by 5? c. Divisible by…

A: We are entitled to solve only 3 subparts of a questions so, I am providing you the same. Kindly…

Q: How many three-digit numbers with different digits are divisible by: a) 25 b) $4 ?$

A: We have to find how many three digit numbers are divisible by: 25 4

Q: 3.54. How many even five-digit numbers, in which all digits are different, can be formed from the…

A:

Q: 23. How many even three digit numbers greater than 400 can be formed from 1, 2, 3, 4, 5, 6, 7, 8,…

A: There are total 52 cards in a deck.  There are 13 hearts and 4 queens in the deck.  The probability…

Q: 10. How many numbers between 11 and 200 are exactly divisible by 7? Find their sum.

A: To Find : a) number of integers between 11 and 200 that are exactly divisible by 7. b) Sum of…

Q: 2) How many integers between 1 and 200, including both 1 and 200 are divisible by 4 or 5? 3) How…

A:

Q: . What is the sum of all the numbers from 84 to 995?

A: Since there are two questions posted, we will answer the first question posted (5). If you want the…

Q: 7. The set of composite numbers that are divisible by 4 and less than 18 8. (1,4, 9, 16, 25, 36, 49)…

A: set of numbers are given, we have to find set builder notation

Q: Determine the sum of all the two-digit multiples of 5.

A:

Q: How many numbers between 3000 and 6000 can be formed from the digits 0, 1, 2, 3, 4, 5, 6 if…

A:

Q: How many odd four-digit numbers in which all digits are different can be formed from the digits…

A: Given numbers : 1, 2, 3, 4, 5, 6, 7 Total no. of digits given = 7 We have to pick 4 numbers and…

Q: 4. How many 4-digit numbers that are divisible by 10 can be formed from the numbers 3. 5. 7. 8, 9. 0…

A: Discaimer : 12:31Since you have asked multiple question, we will solve the first question for you.…

Q: (a) the first digit is 6 and the other digits are different from 6 and different from each other,…

A: HERE AS PER POLICY I HAVE CALCULATED FIRST 3 SUBPART ONLY

Q: 20. Select the number line that any number greater than or equal to negative one 1 -2 -1 -3 1 -3 -2…

A:

Q: 10. Using the digits 2, 4, 6, 7 and 9, how many five-digit numbers can be formed if the number is…

A: Solve by p and c

Q: 7. Suppose you have 60 pennies arranged into 12 stacks with 5 pennies in each stack. The 12 stacks…

A:

Q: How many natural numbers are there between -16.5 and 12.5 on the number line?

A: Natural numbers are a part of the number system which includes all the positive integers from 1 till…

Q: Let S = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Suppose six integers are chosen from S. Must there be two…

A: Consider the following given set:S = {3,4,5,6,7,8,9,10,11,12}Suppose six integers are chosen from…

Q: n crayon box contains 2 green, 3 yellow and 4 blue crayons. In how many ways can one choose 3…

A:

Q: 6. What is the sum of all 100 positive odd integers starting with 1? Apply your common sense if it…

A: Given n=100

Q: 3. How many 4- digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7 it: a) no…

A: Given many 4-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7

Q: In how many ways can the word APPARENT be rearrange?

A:

Q: 3) Order the set of fractions using the number line 1 4 1: 2' 5 3 2 1 14' 3' 2 - -

A:

Q: Q2:- A) How Many ways you can write 12 digits number from the digits 1,2,3,4,5,6,7,8,9,10,11,12 if…

A:

Q: .76 How many six-digit numbers with different digits belonging to the set ${0,1,2,3,4,5,5}$ and…

A: 6 digit forming a 6 digit number  The total number of 6 digit different numbers = 6!-5! = 720-120 =…

Q: a- The first ten multiples of 3 are : ---- ----- b- The first ten multiples of 6 are : c- The first…

A: We are solving the first three subparts and for the next subparts post the question again and…

Q: . How many four-digit numbers are there with different digits and simultaneously: (a) divisible by…

A: Given: Total number of digits = 10 (0 to 9) Number of digits in a number = 4

Q: 7) Braulin says that 2021 is a prime number. Gerry says that 2021 is not a prime number because 43…

A: To Check: whether 2021 is a prime number or not.

Q: 2.3 How many integers between 0 and 500: 1. Have distinct digits? 2. Are divisible by 3? 3. Are…

A: NOTE** As per bartleby guideline for more than three sub parts asked only first three are to be…

Q: In how many ways can 9 member of the family be seated in a round table with 7 chairs?

A:

Q: 3. There are seven students who always compare their CS test grades. They discovered that either the…

A: It is given that there are seven students who always compare their CS test grades. They discovered…

Q: 8. Find the sum of the first fifty positive multiples of 12. (Example. 9, 18, 27, 36....the first…

A:

Q: 2.Find the number of 6-letter words that use letters from {A,B,C,D,E}   in which no 5 consecutive…

A: We can solve this using permutation and  combination

Q: 1. How many numbers between 500 and 2100 are: a. Divisible by 3? b. Divisible by 5? c. Divisible by…

A:

Q: How many five-digit numbers are there composed of different digits belonging to the set…

A: Givenset is {0,1,2,3,4}

Q: 1. A small town has only 500 residents. Must there be 2 residents who have the same birthday? Why?…

A: (1) A small town has only 500 residents. Claim: There are 2 residents who have the same birthday.…

Q: How many three numbers with no repeated digits, can be formed by the use of the digits 0, 2, 3, 4,…

A: here AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS  Three digit number is formed using digit…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.