A box contains : 7 blue rubber balls numbered 1-7, 7 red rubber balls numbered 1-7, 7 green rubber balls numbered 1-7, and 7 yellow rubber balls numbered 1-7. The rubber balls are all the same size, texture, weight, etc. They cannot be distinguished without looking at them. The box is covered and shaken vigorously until the rubber balls are randomly mixed up. 11. Use Rubber Balls in a Box Setup. Suppose 5 rubber balls are to be randomly drawn out (all at once). Find the probability that three of the rubber balls will have one color, and the other two rubber balls will have another color. 8,820 А. 98,280 8,822 В. 8,824 С. 98,280 8,826 D. 98,280 98,280

Q: 3. There are 5 players on the Rockets 3-on-3 basketball team. a. From these 5 players how many 3…

A: We have to finx number of ways..

Q: How many five card poker hands consist of two jacks, two queens, and a card of a different type?…

A: It is given that The total number of cards = 52Red cards = 26No. of jacks = 4No. of queens = 4

Q: 2. A box contains 6 green, are selected at random from the box. a. How many ways can the four balls…

A: given data  6 green 5 yellow 4 blue 3 orange _______________ 18 total balls

Q: The table to the right categorizes 25 senators as to political party and gender. One member is…

A: .

Q: The basic blood types are represented by letters: A, B, AB, and O. There is also an Rh factor…

A: Given variables:1. Blood types: 4 (A, B, AB, O)2. Rh factors: 2 (Positive, Negative)3. Genders: 2…

Q: Consider a standard deck of cards. It has thirteen ranks and four suits. We write these as: R = {A,…

A: Note: As per the Bartelby guidelines only one question with its three sub-parts can be answered.…

Q: 5. A bag contains 20 identical red balls, 20 identical blue balls, 20 identical green balls, and one…

A:

Q: 3. Five cards are dealt off of a standard 52-card deck and lined up in a row. How many such lineups…

A:

Q: Use the following information to answer the next three questions. A bag contains five different…

A: As per the question we have A bag with 5 different colored balls Red, White, Blue, Yellow and Green…

Q: A shipment of 95 TV sets is received. Five sets are to be chosen at random and tested for defects.…

A: Here we have Number of TV sets (n) = 95 Number of sets to be choosen (r) = 5 Here we will we the…

Q: 9. There are 3 different Geometry books, 3 different Algebra books, and 4 different Calculus books…

A:

Q: 6. A bin of golf tees has 7 different colors. You reach in and grab 100 tees. How many different…

A:

Q: What's the difference between permutations and combinations 2. There are 14 flavors at the frozen…

A: The first part of the question is asking for the difference between permutations and combinations.…

Q: An urn contains 12 numbered balls, of which 6 are black, and 6 are white.  A sample of 6 balls is…

A: Number of ways of selecting a sample of 6 balls from 12 balls is given by: 126 = 12!6! x (12-6)!…

Q: A bag contains four different balls colored Red, White, Blue, and Green. You cannot see into the bag…

A: If two balls are selected at random without replacement, For permutations, nPr = n!/(n-r)! Now, 2…

Q: A standard deck of 52 playing cards consists of 4 suits and 13 cards each. How many different 5-card…

A: Total number of plying cards = 52 There are 26 black and 26 red cards  There are 4 suits in the deck…

Q: The table to the right categorizes 20 senators as to political party and gender. One member is…

A: MenWomenTotalDemocrat246Republican8614Total101020find n(women or Republican man) = ?

Q: A race is being run by ten horses. How many distinct permutations of first, second, and third place…

A: Let n be the number of horses run in a race. i.e. n=10 and r be the number of places to be awarded.…

Q: 16. Apoker hand consists of 5 cards from a standard deck of 52 cards. Find the number of two of a…

A: There are total 13 denominations. {J,K,Q,A,2,3,4,5,6,7,8,9,10}.Each denomination has 4 cards.We can…

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.