QUESTION 12. The combination of 11 things taken 8 at a time ( 11 C B) is exactly the same as 11 things taken 3 at a time (11 C 3). Explain why this is logical and not just a coincidence.

Q: 3. Ben has 10 different books. He decided to give 4 to Anne, 4 to Katie and 2 to Lisa. In how many…

A: we will find the combination here.

Q: Question 1:  How many ways can they line up so there is always atleast 1 duck between any two geese.

A:

Q: In how many different ways can you arrange the letters of the word NONSENSE if the first letter and…

A:

Q: In how many ways can three awards be given to seven students under the following conditions :  If…

A: If student can receive more than one award. There are three rewards. Each reward can be assigned to…

Q: Determine the number of distinguishable permutations of 10 objects where object A occurs 2 times,…

A: Determine the number of distinguishable permutations of 10 objects where object A occurs 2 times,…

Q: Suppose there is a list of six jokes about marriage and divorce. In how many ways can people select…

A: The objective of this question is to find out the number of ways people can select their two…

Q: Sarah is flipping a coin.  She flips it six times and gets H, H, H, H, H, H.  She thinks that…

A: If the coin is fair, then the probability of getting head (H)= 12 and the probability of getting…

Q: If there is 1 person in a room and no one shakes his or her hand, and then someone else enters the…

A: Let n be the number of persons in the room.

Q: If 2 specific persons among the 10 people lined up to get on the bus refuse on following each other…

A:

Q: Three cards are chosen without replacement from a deck of 52 cards and placed in order from first to…

A: In the deck of 52 cards, there are total 4 6's. (One for each of hearts, diamonds, spades and clubs)…

Q: how many ways can 5 textbooks, 3 coffee table books and 2 novels be arranged if the textbooks must…

A: This question is from permutation We have to calculate, in how many ways 5 textbooks, 3 coffee table…

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: Bus # 99 and Bus # 135 both leave city hall station starting at 6:30 am. Bus # 99 runs every 15…

A: The starting leaving time and the running times of both buses can be used to calculate the next…

Q: How many three-letter "words" (some may be nonsense words) can be made from 4 letters "FGHI" if…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: In how many ways can 3 English, 3 history, and 3 math books be set on a shelf, if the English books…

A:

Q: A group of five students studying for a bar exam has formed a study group. Each member of the group…

A: Permutation:   A permutation is an arrangement of objects in a definite order.   Let n is the total…