Challenge In a bag of marbles there are 4 blue​ marbles, 4 red​ marbles, and 5 green marbles. You pick three marbles out of a bag one at a time without replacement. How many ways can you pick two blue marbles first and one red marble​ last?

Q: Loyd finds 8 shirts in his size at a clearance sale. How many difference purchases could Loyd make?…

A: We know that: n! = nx (n-1) x (n-2) x (n-3) ........x 2 x 1 nCr = n! / r! (n-r)!

Q: Tim has a collection of model cars and boats. He has 3 cars for every 2 boats. He has a total of 12…

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Q: My dad has 19 oak and maple boards from the lumber yard. Each oak board is 6 centimeters thick. Each…

A: Let, x = no. of oak boards        y = no. of maple boards Then,     Total number of boards = x+y.…

Q: How many ways can a committee of 6 be selected from a club of 10 members? How many ways can a…

A: Combination formula is  = n! /(n-r)! r!  The permutation formula is nPr = n! /(n-r)!

Q: problem solving. The sum of three consecutive intergers is 228. Find the intergers .

A: Given that the sum of three consecutive integers is 228.

Q: Soccer Shootout In soccer, a tie at the end of regulation time leads to a shootout by three members…

A: From the provided information, the total number of players are 11.The required total number of ways…

Q: The ice cream shop offers a choice of 2 cone sizes, 20 flavors of ice cream, and 5 toppings. How…

A: The ice cream shop offers a choice of 2 cone sizes, 20 flavors of ice cream, and 5 toppings. To…

Q: Manufacturing a tricycle requires three wheels and one tricycle frame. If you had 11 wheels and 4…

A: Please see the answer in step 2.

Q: Sixteen people decide to play softball. In how many ways can the 16 people be divided into 2 teams…

A: There is total 16 people decide to play softball.

Q: The math club needs to select a president, Vice President, treasurer and secretary from 21 members.…

A: There are 21 members and we have to select President, Vice President, Treasurer and Secretary. We…

Q: Eight students are eligible to receive 3 different scholarships. The scholarships are in the amounts…

A: Number of student =8Number of scholarship=3

Q: A family is planning a camping trip at a national park. The national park has 4 campgrounds, each…

A: counting principle   multiply number of choices to find total no. of possibilities.   4 campgrounds…

Q: You have 6 different video games. How many different ways can you arrange the games side by side on…

A: Given,Total no.of video games=6

Q: You volunteer to help drive children at a charity event to the zoo, but you can fit only 6 of the 14…

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Q: Your favorite pizza restaurant has 6 different meat toppings and 12 different vegetable toppings.…

A: It is given that there are 6 different meat toppings and 12 different vegetable toppings. Also, roof…

Q: Find the combination A volleyball team has 15 players, two coaches, and three managers. In how many…

A: 15 players 2 coaches 3 managers 20 total people     how many ways can nine people sit in the front…

Q: The math club needs to select a President, Vice President, Treasurer and Secretary from their 32…

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Q: you can choose 2 entrees and 1 side to make a lunch box  . There are 3 choices of sides. There are 6…

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Q: You are buying 10 t-shirts and there are 8 different colors to choose from. How many ways can you…

A: Probability A probability provides the possibility of occurring an event. For example, A school team…

Q: how many ways can you select 2 different flavours of ice-cream for a sundae if there are 16 flavours…

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Q: A boy owns 5 pairs of pants, 7 shirts, 3 ties, and 3 jackets. How many different outfits can he wear…

A: Given that  A boy owns  5 Pairs of pants 7 shirts 3 ties 3 jackets

Q: You visit a store. You have your choice of 3 shirts, 4 pants, and 3 pairs of shoes. How many…

A: Given that you have your choice of 3 shirts, 4 pants, and 3 pairs of shoes.  We want to find…

Q: A track coach needs to select 2 students from each grade level to cre- ate a board of…

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Q: A minivan can hold up to 7 people. How many minivans are needed to take 45 people to a basketball…

A: Given: The minivan can hold up to 7 people.

Q: Linda must choose a shirt, a pair of pants, and a cap for today's outfit. She has 2 shirts, 2 pairs…

A:

Q: A woman's clothing store has designs for 7 shirts, 3 pairs of pants, and 4 jackets. How many…

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.