In a group of 10 people, three $5 prizes will be given. How many ways can be the prizes be distributed? O a. 20 O b. 720 O c. 120 d. 360

Q: Twelve people are on a committee. If five of them are to be chosen to serve on a subcommittee, how…

A: There are total 12 people.  Since it is a group of people so order does not matter. So we will use…

Q: Ami, Beni, Cori, Dani, and Eri went to Dempo concert. How many arrangements were possible when they…

A: The 5 people A, B, C, D and E are to be seated in adjacent seats If E and C are together then the…

Q: A child has 20 pieces of Halloween candy. They are as follows: 6 of them are chocolate bars, 9 are…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! Selecting…

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

A: Subtraction problem

Q: Twenty batteries will be put on the display. The types of batteries are:  AAA, AA, C, D, and 9-volt.…

A: Given,  20 batteries will be put on the display. The types of batteries are:  AAA, AA, C, D, and…

Q: A grocery store has six types of beans, five types of corn, and four types of peas. How many ways…

A: Giventypes of beans = 6types of corn = 5types of peas = 4Total number of ways of buying one type of…

Q: 14. Kareem lives of a mile from the mall.Write two equivalent fractions that show what fraction of a…

A: Answer(14): Suppose, ab is any fraction, then the equivalent fraction of ab is a×nb×n, where n=1, 2,…

Q: The restaurant manager listed down the amount of meal ordered (x) and the tip (y) left by five…

A: Given Information: The independent variable (x) is amount of meal ordered. The dependent variable…

Q: Castel bought four bunches of fennel for $9. How many bunches of fennel can Mofor buy if he has $18?

A:

Q: 13. The ratio of boys to girls in Mr. Johnson's after-school club is the same as the ratio of boys…

A: Since, it is given that there are 4 boys and 12 girls in Mr. Johnson's club.Therefore, the ratio of…

Q: Twelve people are on a committee, seven women and five men.  If a four-person subcommittee is to be…

A: Since we are going to form a committee so here order does not matter. So we will use combination. We…

Q: A computer package comes with two different choices of printer, four different monitors, and 2…

A: Given: 2 Different Choice of printer 4 different monitors 2 different Colors

Q: .

A: Given Data: Binders cost=$7.25 Total cost=$9.05 Number of folders=6   Let Cost of folders be 'x'

Q: tickets

A: Please five the answer in the next step

Q: If you have six books, but there is room for only four books on the shelf, in how many ways can you…

A:

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.