If there are 9 apples and my sister ate 3, how many apples are left?

Q: How many ways can 3 teachers and 4 veterinarians be seated on a bench with the teachers seated…

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

Q: the state department of transportation decides to change the plates to have three letters followed…

A: Given query is to find how many plates are possible if three latters followed by two digits.

Q: How many license plates consisting of three letters followed by three digits contain no letter or…

A: Here we have to find  out the combination of licence plate where repetition  of  letters and digits…

Q: From a club of 25 people, in how many ways can a group of six members be selected to attend a​…

A: In how many ways a group of six members can be selected from a club of 25 people.

Q: Apple decided to give an apple watch to the first person in line, an iPhone to the second person in…

A: From the given information, Apple decided to give apple product to all three persons who stand up in…

Q: john has 10 apples and kate took 5 away how many apples are left?

A: When kate take you are subtracting.   John  originally had 10

Q: 4. If your bag has 60 Smarties, and 30% of the Smarties are purple, how many purple Smarties do you…

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: a family wants to adopt 2 cats and 3 dogs from a shelter that has 12 cats and 15 dogs. in how many…

A: The number of ways of selecting 2 cats from 12 cats is,

Q: A group of students were asked whether they like Mathematics, Physics, or both. If 456 like…

A: We want to find total number of students.

Q: In a school of 200 students, a math team, consisting of 15 students, is to be formed. Two team…

A:

Q: In a bag containing 5 white balls and 6 black balls, how many ways can we draw a white or a black…

A:

Q: In a school with 92 students, 47 live with their biological father and 68 like with their biological…

A: Let S= total students  F= who lives with biological father M=who lives with biological mother Given…

Q: If 4 coins are tossed, in how many ways can they fall?

A: Each coin has two possible outcomes - heads or tails.    H = Heads, T = Tails Each of the 4 tosses…

Q: The average age of a group of six men is 42.If the youngest man leaves , the new average is 46. What…

A:

Q: If mark has 17 grapes And gives away 2. how Many does he have left?

A: Subtraction problem

Q: A New club at Arvin High has 22 members. In how many ways can the club elect a president and Vice…

A: The number of members in the club is 22. The number of ways of electing a president is C122=22.…

Q: If Tim has 6 apples in each bag and he has 12 bags each, how many apples does he have all together?

A: Use unitary method.

Q: In a recent survey of 100 students, 38 said that they took a Math class as a freshman, 49 said that…

A: Follow 2nd step.

Q: At a ballroom dance lesson, the instructor chooses 3 men and 3 women to demonstrate a new pattern.…

A: There are 9 women and 7 men in the class, the instructor chooses 3 men and 3 women to demonstrate a…

Q: At Rosemont High School, 14 players are on the varsity bas- ketball team, 35 players are on the…

A: Given: Let A denotes the varsity basketball team and B denotes the varsity football team then,…

Q: There are 12 people at a party. If they all shake hands, how many different hand-shakes are there?…

A:

Q: 1. Suppose Ivana has 4 shirts, 3 pairs of pants and 3 pairs of shoes. How many different outfits can…

A: Given: Ivana has 4 shirts, 3 pairs of pants and 3 pairs of shoes. The total different outfits Ivana…

Q: If 11 students from a 1st-grade class are lining up to enter the cafeteria line for lunch, how many…

A:

Q: If a plumber and a helper can install a water heater and a half in a half day, then how many water…

A: According to the given information it is required to find the number of water heaters that 20…

Q: If we 5 apples and we take 3 away, how many do we have now?

A: Given that,                  Total apples =5                  take away apples=3

Q: The owner of a stereo store wants to advertise that he has many different sound systems in stock.…

A: The owner of a stereo store wants to advertise that he has many different sound systems in stock.…

Q: have 7 cats and take away 3 how many would i have left

A: Given : Total number of cats = 7

Q: or this problem, assume that 13 exhibits entered the science fair, and that we want to assign 5…

A: Given Data :  Number of exhibits are 13 in a science fair                        Number of Prizes…

Q: If 5 students are to be seated in 5 chairs, how many ways can they be seated in a circle?

A: Let, n be the number(n)=5 The total number of arrangement = 1 x (n-1)!…

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: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

A:

Q: In a large family, 20 have parrots, 15 have rabbits, and 5 have both. One own a pet dog. How many…

A: In a large family, 20 have parrots, 15 have rabbits, and 5 have both. One own a pet dog. We need to…

Q: A woman has two skirts and six blouses. Assuming that they all match, how many different skirt and…

A: As we know, nCx=n!(x)!  *  (n-x)! ; where n!=1*2*3*.....(n-1)*n

Q: If I have 8 apples and take away 4, how many do i have left?

A: You have 8 apples and 4 apples are being taken away. This means number of apples which you have is…

Q: A teacher chooses 3 of her 22 students to help clean the room after school. In how many ways can the…

A:

Q: There are nine boys to every seven girls in an introductory class geology course . If there are 368…

A: Simplification

Q: If a guy has 4 apples and he gives away the 3 how many apples will he have ?

A:

Q: If there are 5 logs in a pile of 30 that have sap on them, how many logs will have sap out of 360?

A: Given:--Number of logs that have sap on them in pile of 30 = 5 To Find:- Number of logs that have…

Q: There are 80 seats in the theatre. If 20% of the seats are occupied, how many seats remain…

A: To find number of seats remain unoccupied in the theatre

Q: In a house of 10 people, how many ways can a squad of 4 people be arranged?

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

Q: In a class there are 20 female students and 10 male students. In how many ways a volunteer group can…

A:

Q: Out of a group of 20 children, 10 drink tea, 9 drink coffee and 7 drink milo. 4 drink tea and coffee…

A: Given Number of children drink tea = n(T) = 10 number of children drink coffee = n(C) = 9 number of…

Q: If someone owns: 7 pants 1 shirt 5 ties 7 jackets, how many different outfits can that person make?

A: We have given that someone owns: 7 pants 1 shirt 5 ties 7 jackets

Q: if Jake got 5 apples and Katie takes away 3 how many apples will he have

A: To calculate the number of apples left with Jake.

Q: In a class of 25 students, 17 lived with both parents, 21 lived with their mothers, and 20 lived…

A: Here we have to solve the following problems using Polya's problem-solving steps.

Q: If a club consists of 8 members, how many different arrangements of president, vice-president, and…

A: Given that Number of memebers in a club =8 To find number of different arrangements of…

Q: There are 387 students who are enrolled in an introductory geology course. If there are four boys to…

A: Given: -There are 387 students who are enrolled in an introductory geology course. if there are four…

Q: How many license plates are possible consisting of 4 letters followed by 3 digits if the first…

A: The license plate consists of 4 letters followed by 3 digits. Thus, it has 7 places to fill up.…

Q: If there are five different toy cars, and you want to put fifteen toy cars on the display, how many…

A: Permutation is the measurement of principle counting. It is measure that arrange the data in an…