A bag contains 6 red 5 blue and 4 yellow marbles. two marbles are drown but the first marble drawn is not replaced (a)find P(red ,then blue)

Q: In the 31st SEA Games volleyball match, how many ways can a coach choose 6 starters from a…

A: From given information, n is 15 and r is 6.

Q: A poker hand consists of 5 cards dealt from an ordinary deck of 52 cards. How many different hands…

A:

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

A: Given,no.of engineers=5no.of accountants=3

Q: There are 15 players on a volleyball team. Only 6 players can be on the court for a game. How many…

A: Given data There are 15 players on a volley ball team. only 6 players can be on the court for a…

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 committee of 4 boys and 5 girls is to be formed from a group of 8 boys and 10 girls. How many…

A: Say the given question is of combination or not combination .

Q: In an office of 18 people, there are 7 men and 11 women. A subcommittee of four people will be…

A: Given: total = 18 members Number of men = 7 Number of female = 11

Q: A box of 15 spark plugs contains three that are faulty. In how many ways can 4 spark plugs be…

A: As per our guidelines we are suppose to answer three sub parts.  Given,Total no.of plugs=15no.of…

Q: How many ways can 6 boys stand in a line if a certain boy must come first?

A:

Q: A shop sells roses in 3 colours (red, white, yellow) and orchids in 4 colours (white, purple, blue,…

A:

Q: 10) There are 8 members on a board of directors. If they must form a subcommittee of 6 members, how…

A: Given data 8 members available  We have to select 6 from it for committee Here order of selection…

Q: ssume that 8 women and 6 men work in a department at a large company. How many ways can a…

A: Combination formula : The number of ways to select r subject from n is determined by using following…

Q: The student council at a high school consists of 12 seniors, 6 juniors, 3 sophomores, and 2…

A: We have to find no. Of combination possible.

Q: The Managing director of a company wishes to form a committee consisting of 4 members from a pool of…

A: We have to find no of different combinations possible.

Q: A box contains 8 red balls, 8 blue balls, and 6 orange balls. In how many ways can 6 balls be chosen…

A: Given : A box contains 8 red balls, 8 blue balls, and 6 orange balls

Q: A committee of 5 students is to be chosen from 6 boys and 5 girls 1. How many different 5-member…

A:

Q: A team composed of two grade 11 and two grade 10 students is to be sent to a debate contest. If…

A: The provided information is  There are Two grade 11 and two grade 10 students  There are also 60…

Q: Find the number of ways in which we can select a team of 6 players from a class of 12 people.

A:

Q: A bag contains 6 red balls and 4 white balls. In how many ways can one draw: 2 balls of different…

A: Given data, Number of red balls=6 Number of white balls=4 In how many ways can one draw 2 balls of…

Q: Suppose a class has 18 women and 12 men.We wish to form a committee of 5 people.If the committee is…

A:

Q: Seven women and nine men are on the faculty in the mathematics department at a school.   1. How…

A:

Q: 1. Determine the number of different 3-people or 4-people committees that can be formed from the 8…

A:

Q: Ten jokes are listed in a magazine.   If the fourth joke from the magazine is​ excluded, in how…

A: There are 10 jokes listed in a magazine.Here 4th joke is excluded than find the number of ways…

Q: 24. Box A contains 7 balls and box B contains 16 balls. How many different selections of 10 balls…

A: Determine the different selections of 10 balls that can be made. The different selections of 10…

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

A:

Q: A student wants to buy 3 CDs. Assume that they are interested in 4 CDs featuring the piano, 6 CDs…

A: The total number of ways of choosing 3CD's=C313=286 If all the CD's are same that are chosen, then…

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

A:

Q: 5. Twenty athletes enter an Olympic event. How many different possibilities are there for winning…

A: Consider that we have to find out the probability of the athletes winning the gold medal, silver…

Q: In a survey of 260 students, it is found that 78 like broccoli, 103 like cauliflower, and 56 like…

A: We will solve it by Venn diagram Let A be the set who like broccoli and B be the set who like…

Q: A committee of 8 people randomly chooses 3 people in order to be president, vice president, and…

A: Total person = 8 to chosen = 3 Order = considered

Q: A team of 6 people is to be chosen from a group of 7 girls and 4 boys. There ae possible teams if…

A: Combination formula :  Number of ways to select  r items from total n items is given by,   Crn =…

Q: (b) From a collection of 52 store customers, 3 are to be chosen to receive a special gift. How many…

A: a group of 52 store customers. 3 persons are to be selected, need to find total way exactly 3 store…

Q: n how many ways can a committee of 4 be selected from 8 seniors 8. and 6 juniors if the committee…

A: Since you have posted multiple questions, as per our guidelines, we have provided answer for first…

Q: n a club with 10 members, how many ways can a slate of 3 officers consisting of president,…

A: We have given that,  Total number of members in a club = 10 To choose  3 officers consist 1…

Q: 8. The captain of a baseball team assigns himself to the 6th place in the batting order. In how many…

A: When you arranging elements (r) from orders list (n), Permutation is a matter of orders while, the…

Q: Suppose we want to choose 2 colors, without replacement, from the 4 colors red, blue, green, and…

A: Given data: Suppose we want to choose 2 colors, without replacement, from the 4 colors red, blue,…

Q: black hair or had a whole row to themselves (or both). Of this total, 25 had black hair and 5 were…

A:

Q: A House committee has 9 members, consisting of 5 Republicans and 4 Democrats. An of 3 members is…

A:

Q: A 6-person committee is chosen from a group of 8 men and 5 women. How many committee are possible…

A: We have given that 8 men and 5 women. Total number of person = 13

Q: A committee of 3 is to be formed from a group of 20 people. How many different committee are…

A: A committee of 3 is to be formed from 20 people. So there has to be 3 selections from 20 people…

Q: coffee shop offers 14 different types of flavor shots. If a customer can choose any number of flavor…

A: Given a coffee shop offers 14 different types of flavor shots.

Q: select three (3) coins, but assume that there are 5 dimes, 4 nickels, and 2 quarters. In how many…

A:

Q: A class contains 8 boys and 4 girls. In how many ways can the teacher choose a committee of 5?

A: Given information- We have given that a class contains 8 boys and 4 girls. The teacher has to make a…

Q: Suppose there are 14 people from which you can choose a President, Vice President, and a Treasurer.…

A: The number of people is 14.

Q: There are 12 people that have entered a gaming tournament with prizes for 1st place, and place, and…

A: Given that there are total 12 people. We will pick 3 different positions. since the order matters,…

Q: 6. If there are 12 teams in a basketball tournament and each team must play every other team in the…

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

Q: 3. In a box, there are 5 black pens, 3 white pens and 4 red pens. In how many ways can 2 black, 2…

A: Answer: In 180 ways 2 black , 2 white, and 2 red pens can be chosen.

Q: Natasha and Rodrigo are in a class of 30 students that selects 4 leaders. How many ways are there to…

A: Solution:

Q: How many combinations are possible to select a student president, vice president and treasurer among…

A:

Q: From a group of 17 smokers and 23 ​nonsmokers a researcher wants to randomly select 6 smokers…

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

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.