In how many ways can four children fall in line if the tallest be the last?

Q: During a birthday party, how many ways can five guests, both parents, and the birthday celebrant be…

A: Follow the steps.

Q: A company is planning a Christmas party for their 750 employees, base on the survey responses they…

A: Given a company is planning a Christmas party for their 750 employees, base on the survey responses…

Q: A group consists of 10 kids and 2 adults. On a hike, they must form a line with an adult at the…

A: Given that Number if kids in a group =10  Number of adults in a group=2 They must form a line with…

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

A:

Q: 2. Claire has 100 baseball cards. He wants to place the cards in three stacks so that the second…

A: We need to find number of cards in first,second and third stack We need to find  how many stacks…

Q: How many ways can 7 students standing in a line be arranged John must be first in line and Chloe be…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Q: How many ways can 12 students standing in a line be arranged if John must be first in line?

A:

Q: Example 32. a line so that all the girls sit together and all the boys sit together, Find the number…

A:

Q: In how many ways can a father distribute 7 gifts to his 3 children, if the oldest child receives 3…

A: It is given that one child receives 3 gifts and the other two children receives 2 gifts each.

Q: How many ways can three people be selected from a group of seven people if order DOES matter

A: Given that, Total number of peoples = 7

Q: In how many ways can 9 gifts be divided between 4 children if the eldest child is to receive 3 gifts…

A:

Q: How many ways that two girls and 4 boys can fall in a line of there must be a girl and a boy in the…

A: Let us assume there are three persons A, B and C sitting beside each other. The different ways in…

Q: There are 4 purple plates and 4 blue plates? How many different ways can the plates be stacked? Two…

A: see the hand written solution:

Q: You and nine of your classmates are attending an event. How many ways can you be arranged in a…

A: You and nine of your classmates are attending an event.so total number of classmates  =10

Q: How many ways that two girls and 4 boys can fall in a line of there must be a girl and a boy in the…

A: Introduction: There are 2 girls, and 4 boys.

Q: In how many ways can 5 men and 5 women be seated at a round table if each woman is to be  between…

A: We have round table and 5 men and 5 women be seated at round table if each women is to be between…

Q: In how many ways can we seat 6 boys and 3 girls on a row of seats so that no two girls sit next to…

A: If no two girls can sit together, then we need to alternate boy and girl. We can start with a boy…

Q: Suppose we first roll a six-sided die, and then flip a fair coin as many times as the number on the…

A: Given that - Roll a six-sided die, and then flip a fair coin as many times as the number on the die.

Q: A die is rolled four times consecutively. Find the number of possible outcomes if the order of the…

A:

Q: How many ways that 2 girls and 4 boys can fall in a line of there must be a girl and a boy in the…

A:

Q: In how many ways can a row of three contestants for a TV game show be selected from an audience of…

A:

Q: In how many ways can four boys and five girls sit in a row if the boys and girls must sit…

A:

Q: 3. At graduation, 11 friends decide to take a group picture together. In how many ways can this…

A: 11 friends ,  Want to take a group picture together No. of ways = ? (Group of friends can be…

Q: At an awards ceremony, ten women and eight men are each to receive an award and are to be presented…

A: Women=10Men=8Total=18

Q: In how many ways can 7 women and 7 men partner up for ballroom dancing, if each person has to dance…

A: The number of ways to select r objects from n objects is computed by using the formula of…

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

A: Given : Total no of people= 11 Paolo and Hazel sit next to each other.

Q: A class contains eight boys and eight girls. In how many ways can they stand in a line if they must…

A: Given, A class contains eight boys and eight girls.

Q: Suppose there are 20 students in our class and we want to choose 3 to sit in the front row. How many…

A: Given information There are 20 students We want to choose 3 to sit in the front row Total number of…

Q: In how many ways one can select a group of three students out of 6 boys and 4girls. If a group…

A: Given : Number of boys = 6 Number of girls = 4 we have to select a group of three students a) two…

Q: In how many ways can 6 boys and 7 girls sit in a row if the girls and boys must alternate?

A:

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.