A bag contains 5 black and 10 white balls. In how many ways can we draw from the bag groups of 5 balls involving at least 4 white balls?

Q: A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector choose…

A:

Q: How many ways are there to distribute eight balls into six distinct boxes with at least one ball in…

A: The balls are identical. In this case there are 8 balls and 6 boxes to be placed, so each box can be…

Q: A team of 7 players is to be selected from a group of 13 people. In how many ways can this be done?

A: Given data  A team of 7 players is to be selected from group of 13 people No of ways can be this…

Q: How many different teams of 4 can be chosen from a group of 15 children and 17 adults if each team…

A: According to provided data, there is total of 15 children (C) and 17 adults (A). Therefore, the…

Q: If a dealer randomly picks 5 cards from a standard deck that consists of 52 playing cards and then…

A:

Q: How many different committees of 6 can be selected from 12 seniors and 20 juniors if the committee…

A: Given: Number of seniors (s)=12number of juniors (j)=20number of committee members(n)=6

Q: In how many ways can 12 students be partitioned into 3 teams so that each team has 4 members.

A:

Q: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at…

A:

Q: How many ways can you choose 3 distinct groups of 3 students from total 9 students?

A:

Q: A bag contains 5 black and 8 white balls. In how many ways can we draw from the bag groups of balls…

A:

Q: Find the number of combinations that can be drawn without replacement by pulling 2 balls from a set…

A:

Q: A focus group of 3 students from this class is going to be randomly chosen. In how many ways can the…

A: Students to be chosen = 3 Total number of students in the class  = (6+4+3+1+1+5+8+3+1+1) = 33

Q: Among a set of 5 black balls and 3 red balls, how many selections of 5 balls can be made such that…

A: From the given information, there are 5 black balls and 3 red balls. Total number of balls is 5+3=8…

Q: nd presently has 3 lots to build on

A: Given : a contractor builds homes of 6 different models and presently has 3 lots to build on.  we…

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

A:

Q: How many groups can be formed from 8 studenta taking at least 2 at a time?

A:

Q: If 4 marbles are picked randomly from a basket containing 5 blue marbles and 8 yellow marbles, in…

A: This is the problem of combinatorial.

Q: From a group of 8 men and 6 women, six persons are to be selected to form a committee so that at…

A: Given information 8 men and 6 women Six persons are to be selected to form a committee

Q: A bag contains 7 black and 4 white balls. In how many ways can we draw from the bag groups of 5…

A:

Q: In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

A:

Q: A shipment of 9 television sets includes three that are defective. In how many ways can a hotel…

A:

Q: From  a group of 4 men and 5 women, how many committees of size 3 are possible: a) with no…

A: Given,no.of men=4no.of women=5total no.of people=9

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: According to the provided information, number of female students = 9 number of male students = 12…

Q: A bag contains 7 black and 6 white balls. In how many ways can we draw from the bag groups of 5…

A: Given a bag contains 7 black and 6 white ballsTotal=7+6=13 ballsHow many ways can be draw 5 balls…

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: Combination:   A combination is a selection of objects where order is not important.   If n is…

Q: Suppose 8 red marbles are to be put into 10 numbered boxes with any number per box. In how many ways…

A: Given are 8 red marbles, let's denote them as R1, R2,R3,R4,R5,R6,R7 and R8 Also, there are 10 boxes,…

Q: Suppose that 175 heads and 225 tails resulted from 400 tosses of a coin. Does this appear to be a…

A:

Q: There are 20 total members in a club. 15 are on team blue, 5 are on team red. How many distinct…

A: It is given that there are totally 20 members in a club in which 15 are on team blue, 5 are on team…

Q: In how many ways can 8 books be choosen from a group of nine?

A:

Q: Consider a bag containing four red marbles, two green ones, one transparent one, three yellow ones,…

A: Total number of marbles = 4+2+1+3+3 = 13 Find the sets of five marbles containing 2 yellow marbles:…

Q: 3. How many groups van can be formed from 8 students taking at least two at a time?

A:

Q: How many 6-member committees with at least 4 men, can be selected at random from a group of 6 men…

A:

Q: A particular brand of shirt comes in 12 colors, has a male version and a female version, and comes…

A: Here , particular brand of shirt comes in 12 colors. It has female version and male version. And it…

Q: A club has 11 members. Five are to be chosen to go as a group to a national meeting. If the club…

A: The total members in the club is 11. Of them, 7 are men and 4 are women. The main objective is to…

Q: A contractor builds homes of 9 different models and presently has 3 lots to build on. In how many…

A: We have to find no. Of ways..

Q: How many 4-person committiees can be formed from a group of 8 teachers and 5 students if there must…

A: If there is 1 teacher, then there must be (4-1)=3 students.  We can pick 1 teacher from 8 teachers…

Q: There are 10 participants to a barangay meeting to talk about safety measures to be implemented…

A: Here the total number of participants = 10 It is needed to arrange them in row , where , three of…

Q: Suppose a lawyer select 4 jurors from the set of 6 candidates? How many groups are possible?

A: From the provided information, The total candidates = 6 The lawyer selects 4 jurors from 6.

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: A contractor builds homes of  11 different models and presently has 6 lots to build on. In how many…

A: We have to find the different ways can he arrange homes on these 6 lots...

Q: A box contain 8 red and 6 green balls. In how many ways can 3 balls be drawn such that 2 is ed and 1…

A: Answer - A box contains 8 red and 6 green balls.                 How many ways can 3 balls be drawn…

Q: Suppose 7 female and 6 male applicants have been successfully screened for 5 positions. In how many…

A: Given ,no.of females =7no.of males =6Total no.of peoples =13

Q: A license plate begins with three letters. If the possible letters are A, B, C, D and E, how many…

A: Permutation is used to find the possible arrangements in an experiment where the order of…

Q: A firm is considering expanding into 5 of 14 possible cities. How many different groups of 5 cities…

A: The combination formula is nCx = n! /(n-x)! x!

Q: Five cards are selected out of 52. In how many different ways can this be done if: they contain at…

A: If ways of occurrence of 1st event is m  And ways of occurring of the second event is n  And if both…

Q: A bag contains 7 black and 6 white balls. In how many ways can we draw from the bag groups of 5…

A:

Q: Suppose a group of eleven people consists of five men and six women. How many committee of of…

A: From the provided information, A group of 11 people consists 5 men and 6 women. A committee of 5…

Q: A bag contains 7 black and 6 white balls. In how many ways can we draw from the bag groups of balls…

A:

Q: A bag contains 5 black and 4 white balls. In how many ways can we draw from the bag groups of 3…

A:

Q: I have a set of 27 students. How many times can I form groups of 3?

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.