2. At Mang Amang's Eatery, you can choose from 7 viands, plain or fried rice, 3 kinds of beverages and 2 kinds of dessert. In how many ways can a person choose what to have if he is to order one from each group?

Q: 1. A girl has 6 bags, 11 dresses and 7 pairs of shoes. On how many different ways can she dress up?…

A:

Q: 6. A University building has 9 doors. In how many ways can a student enter and leave by different…

A: Total no of doors in university = 9 We have to find the no. If ways a student can enter and leave by…

Q: 5. When ordering a certain type of computer, there are 3 choices of hard drive, 4 choices for the…

A: 3.  choice of hard drive   4.  choice for the amount of Memory   2.  choice of video card…

Q: If 5 cards are dealt from a standard deck of cards, how many different ways can three clubs and two…

A:

Q: In how many ways is it possible to elect a president, a vice-president, a treasurer, and a secretary…

A: Given Data: The total number of members in the club is: n=43 From the given club a president, a…

Q: In how many ways can a male president and a male or a female vice-president be selected out of 5 men…

A: To determine the number of ways in which a male president and a male or a female vice‐president be…

Q: 10. A tourist group visiting Las Vegas for 5 days would like to stay in 5 different hotels. If the…

A: There are 10 hotels and the people are staying for 5 days so the choice needs to be made of 5 hotels…

Q: The Chess Club has 15 members. The club wants to elect a president, vice president, secretary, and…

A:

Q: 1. There are 12 athletes joining the Baguio Marathon Event, how many ways can the first, second,…

A: 1. There are 12 athletes joining the Baguio Marathon Event. First place can be chosen by 12 ways, as…

Q: The chess club has six members. ​(a) In how many ways can all 6 members line up for a​ picture? ​(b)…

A:

Q: A class consists of 60 girls and 40 boys. In how many ways can a president, vice-president,…

A: Number of boys=40 Number of girls=60 Given the treasurer must be a girl. Hence the number of ways to…

Q: In how many ways can a comittee of 6 be chosen from 6 administrators and 4 supervisors if all are…

A:

Q: A jar contains four white balls, eight black balls, and six red balls. In how many ways can two…

A: Given :Total number of balls in a Total number of white balls = 4 Total number of black balls = 8…

Q: How many ways can Paolo, Rico, Jared, Arnold, Edward, Janna, Victoria, Hazel, Julia, Alice, and Lyka…

A: Given, Male: Paolo, Rico, Jared, Arnold, Edward. Female: Janna,Victoria,Hazel,Julia,Alice,Lyka. So…

Q: 2. In how many different ways can they arrange to give everybody a chance to experience the ride?

A: Number of people=7, number of bike available=4. To find the number of ways of arrangements so that…

Q: 5. How many arrangements can be made from 4 boys and 4 girls if they have to sit in a roundtable and…

A: We have given that  Number of boys=4 Number of girls=4

Q: 4. Your school is hosting a Mathletes competition in which senior and junior teams will be entering.…

A: Selection of x items from n objects can be represented by combination  Cxn and arrangement of same…

Q: 1. In how many ways: a. Can 8 people be lined up to get on a bus? b. Can they be seated if 4…

A:

Q: 5. Rowena would like to invite 7 friends to go on a trip but has room for only 4 of them. In how…

A: Combination:   It is nothing but the selection of objects where the order of selection is not…

Q: Suppose you have a set of cups and saucers which are red, orange, green, light blue, dark blue, and…

A: Number of different coloured coffee cup=6 Number of different coloured saucer=6

Q: A committee of 5 is to be chosen from a group of 10 people. How many ways can it be chosen, if Bill…

A: Below the solution

Q: In how many ways could a club of 12 members choose a president, Vice President and a treasure?

A: GIVEN DATA : There are 12 members in the club. TO FIND : Number ways 12 members can choose a…

Q: 3. How many different sets of five cards each can arrange froma standard deck of 52 cards?

A: We have to find how many different sets of five cards each can be arranged from a standard deck of…

Q: You are teaching a math class, and have seventeen students who are so hard-working and invested, you…

A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements is…

Q: 3. Anabelle would like to invite 9 friends to go on a trip but has room for only 5 of them. In how…

A: Question: Anabelle would like to invite 9 friends to go a trip but has room for only 5 of them . In…

Q: In how many ways can one black America and one Latino be selected from 15 black Americans and 6…

A: In order to get the result we have to calculate total no.of permutation.

Q: How many ways can A, B, C, and D be arranged to the __ __ __ __ if D is restricted to the third and…

A: Let A,B,C and D be the four letters that we have to arrange. Given: D is restricted to the third and…

Q: In how many ways can a committee of three men and four women be formed from a group of 10 men and 10…

A:

Q: 5a. In a club consisting of 15 members, how many different ways can a 4-person committee where…

A: Determine the number of ways that a 4-person committee where everyone is considered equal. The…

Q: In how many ways can a person choose three movies to watch from a collection of 7 suggested movies?

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

Q: 10. If there are 15 people and only 2 chairs are available, in how many ways can they be seated?

A: Explanation: Given that,  Number of people=15 Available chairs=2     Formula Used: Crn=n!r!·(n-r)!

Q: 10 students should be accomodated in two 3-bed and two 2-bed rooms. In how many ways can they be…

A:

Q: 4. You want to get a cell phone and must decide on the right plan. If there are 10 different phones,…

A: This is combination question we need to find only selection

Q: 1. There is a deck of 52 cards. How many ways are there to distribute 13 cards to each of 4 players?

A:

Q: In how many ways can a couple invite 3 out of their 15 closest friends to a dinner party?

A:

Q: In how many ways can a committee of three men and four women be formed from a group of 12 men and 12…

A: given: Number of men = 12 Number of women = 12 The number of ways of choosing "r" from "n" is…

Q: _6. Rylan's basketball team has 11 players. How many ways can his coach choose five starting…

A: Given;  1): No of player =11  To choose 5  starting players from the 11 players then nonof ways ?…

Q: 4. Ms. Green must choose three students from her chess club to speak on the Rebel Report. If the…

A: Given that  Total member=8 She choose member=3

Q: In how many ways can Mrs. Smith give a chocolate bar, a bag of potato chips, and a can of cane juice…

A: Mrs. Smith give a chocolate bar , a bag of potato chips and can of cane juice to 3 of the 21…

Q: In how many ways can you select a group of 7 red cards and 4 black cards from a deck containing 10…

A: We need to select 7 red cards out of 10 i.e. C(10,7)We need to select 4 black cards out of 9 i.e.…

Q: 3. How many ways can 7 cards be chosen from a standard deck of 52 cards?

A: In the given problem, we have 52 cards. We have to find the number of ways for which we can choose 7…

Q: in how many ways can 2 men, 4 women, 3 boys, and 3 girls be selected from 6 men, 8 women, 4 boys,…

A: Ans# Given 6 man, 8 women, 4 boys and 5 girls.          How many ways can 2 men, 4 women, 3 boys and…

Q: In how many ways can a committee of three men and four women be formed from a group of eleven men…

A: Given,no.of mens=11no.of womens=10

Q: 3. A contractor wishes to build 9 houses, each different in design. In how many ways can he place…

A: From the given information, Total number of hoses to be build (n) =9 One side has 6 lots and other…

Q: 2. Ten frontliners are going to get their meal. In how many ways can the 10 frontliners be arranged…

A: (2) Ten front liners are going to get their meal. In how many ways can the 10 front liners be…

Q: If there are 10 people and only 6 chairs are available, in how many ways can they be seated?

A:

Q: In how many different ways can a president, vice-president, secretary, and a treasurer be selected…

A:

Q: In how many ways can 3 students be selected from a group of 12 students to represent a university in…

A: Given data: Total students = 12 3 students  selected  randomly To find: In how many ways can 3…

Q: In how many ways can a committee of four men and three women be formed from a group of eight men and…

A:

Q: In how many ways can a committee of four be chosen from five married couple if the committee must…

A: Five married couple that means number of men = 5 and number of women = 5  Here given condition…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.