In how many different ways can 6 identical lands be distributed among two distinct people if each person receives at least three lands and no more than five lands?

Q: How many different committees are possible that consist of 5 women and 3 men selected from a group…

A: For a committee, arrangement does not matter so use the combination method.  We can select 5 women…

Q: 1)Tom has 2021 balloons to be evenly distributed among 21 students. If every student receives the…

A: Tom has 2021 balloons .We have distributed in 21 students every students receive balloons…

Q: a) Without restriction? b) With each person getting at least one pear?

A: The objective is to distribute eight (identical) apples, six oranges, and seven pears among three…

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 3 nickels, and a quarter, how…

A: The probability density function of X is obtained below:From the given information, number of coins…

Q: In order to conduct an experiment, 5 subjects are randomly selected from a group of 45 subjects. How…

A: It has been provided, Number of subjects that are randomly chosen (r) = 5 Total subjects (n) = 45

Q: 3) In how many ways can three bracelets be selected from a box of ten bracelets?

A:

Q: How many ways can you distribute n (indistinguishable) marbles to k different adults so that each…

A: A simple way to do this is using the stars and bars method. First, we give 3 marbles to all k…

Q: In how many ways can you distribute n pennies to k children if each child is supposed to get at…

A:

Q: In order to conduct an experiment, 5 subjects are randomly selected from a group of 32 subjects. How…

A: Given that,5 subjects are randomly selected from a group of 32 subjects.

Q: Three adults and five children are seated randomly in a row. In how many ways can this be done if…

A: Option(1) is correct

Q: In how many ways can 12 different books be distributed among four chil- dren so that (a) each child…

A:

Q: 15 distinguishable objects are to be distributed into five distinguishable boxes so that the boxes…

A:

Q: In an enormous car park with 10 levels there are 38 free spots. In how many different ways can the…

A: GivenNo.of free spots (n)=38no.of var park levels(r)=10

Q: In how many ways can a party of 7 persons arrange themselves in a row of 7 chairs?

A:

Q: In order to conduct an experiment, 5 subjects are randomly selected from a group of 36 subjects. How…

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

Q: 29. In how many ways 4 different balls be distributed in 5 boxes so that all the balls are not put…

A: To find the total number of ways that 4 different balls be distributed in 5 boxes so that no box…

Q: 60 people are at a banquet, 3 participants are selected to win door prizes. If the first person…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: 2. In how many ways can twenty 1000-peso bills be given away to four of ten people where each of the…

A: Given information: Twenty 1000-peso bills Total number of people = 10 Number of people to be…

Q: In how many ways a team of 4 representatives can be chosen in a class of 12 students consisting of 5…

A:

Q: . In how many arrangements can 7 women and 7 men be placed in a line if all the women line up first?…

A:

Q: A automobile race contains 15 racecars. In how many ways can the racecars finish in first, second,…

A: A automobile race contains 15 racecars.

Q: In how many ways can 25 identical doughnuts can be distributed to 4 police officers so that each…

A:

Q: How

A:

Q: how many different ways can 15 runners finish in the first five places of a race?

A: It is given that n is 15 and r is 5.

Q: Suppose that 9 horses run a race. How many first-, second-, and third-place finishes are possible?

A:

Q: How many ways are there to distribute eight different toys among four children if the first child…

A:

Q: A company decided to distribute 5 identical computers among its employees. In how many different…

A: From the given information, The number of identical computers = 5 Number of employees who is going…

Q: In how many ways can 5 red and 4 white balls be drawn from a bag containing 10 red and 8 white…

A: It is given that, a bag containing 10 red balls and 8 white balls. From this bag 5 red balls and 4…

Q: How many different ways can 5 brands of soda be displayed on a supermarket's shelf, one at a time in…

A: Given Information: 5 brands of soda are to be displayed on a supermarket's shelf.  It is needed to…

Q: in how many ways can 6 marbles be distributed among 3 boxes7

A:

Q: In how many ways can 25 identical donuts be distributedto four police officers so that each officer…

A:

Q: In how many different ways can 6 identical lands be distributed among two distinct people if each…

A: If each person receives at least three lands each. Total number of identical lands is: 6 Number of…

Q: In a tournament, 21 tennis players compete. 1 gold, 1 silver and 3 bronze medals are awarded at the…

A: Here in the problem 21 tennis players compete . There are 1 gold,1 silver and 3 bronze medals to be…

Q: How many ways can 6 different contracts be distributed amongst 9 different​ firms, if any one firm…

A: The total number of different contracts =6 The total number of different firms =9 Given that any one…

Q: In how many ways can we distribute eight identical white balls into four distinct containers so that…

A:

Q: In how many ways can we distribute 10 indistinguishable oranges and 1 tangerine among 3 children…

A:

Q: How many ways are there to get a sum of 25 when 10 distinct dice are rolled?

A: Given : 10 distinct dice are rolled We have to finds the number of ways for getting a sum of 25 Now,…

Q: How many ways can a committee of 4 be selected from a club with 22 members?

A: It is an important part of statistics. It is widely used.

Q: A large pile of coins consists of pennies, nickels, dimes, and quarters (at least 20 of each). How…

A: *to find:- different collection to be chosen out of 20 coins which contains at least 3 coins of each…

Q: A2. a. A company decided to distribute 5 identical computers among its employees. In how many…

A: The number of identical computers is 5. The number of distinct people is 3. Since, each employee…

Q: presents two (2) examples of a finite population and two (2) examples of an infinite population.

A: It is an important part of statistics. It is widely used.

Q: In how many ways can 5 people arrange themselves in a row for picture taking?

A: Given that there are 5 people in a group.

Q: How many ways can 7 different contracts be distributed amongst 11 different​ firms, if any one firm…

A: According to the fundamental principle of counting, if one thing can be done in m ways and another…

Q: In order to conduct an​ experiment, 5 subjects are randomly selected from a group of 50 subjects.…

A: According to the provided information, 5 subjects are randomly selected from a group of 50 subjects.…

Q: In how many ways can 7 black and 7 white balls be distributed into 7 boxes so that there are exactly…

A: Given : 7 black and 7 white balls 7 B , 7 W Given boxes = 7  there are exactly 2 balls in each box…

Q: How many ways can we select a committee of size 4 members from among 9 candidates?

A: we use the formula nCr = n! / (n-r)! * r!

Q: In how many ways can 6 marbles be distributed among 3 boxes?

A: According to the provided information, we need to distribute 6 marbles among 3 boxes.

Q: How many ways can three students be selected at random such that NO student comes from Luzon and…

A: The geographical distribution of the hometown of 80 students of PUP is given as: 50 from Luzon, 10…

Q: How many ways can a committee of 2 be selected from a club with 12 members?

A:

Q: How many ways can a committee of 4 be selected from a club with 10 members?

A: No of ways to select a committee of 4 from 10 members is =? We can select in 10C4 ways.   nCr= n! /…

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.