Prove by mathematical induction: Suppose there are   people  in line to enter a hockey game between Nipissing Lakers and Canadare Panthers at the Memorial Gardens in North Bay. Suppose each person in the line is either a Nipissing student or a Canadore student. If the person at the front is a Nipissing student, and the person at the back is a Canadore student, prove that  somewhere in the line there is a Canadore student  standing directly behind a Nipissing student

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: 3) Roll a fair die repeatedly; X represents the number of rolls it takes to get a six. X is…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: Suppose that 50 people buy raffle tickets. a. In how many ways can 4 people who bought tickets be…

A: a) If each is to receive a $20 gift certificate to a restaurant then the arrangement does not…

Q: Taehyung is joining the same flight as Namjoon and Yoongi. In his drawer, there are 7 identical…

A:

Q: Suppose an urn contains 10 marbles: 4 are white and 6 are black. We will draw marbles randomly,…

A: First four are whack which means they are white and one of the first 5 drawn marbles.

Q: Among the eight cars that a dealer has in his show-room, Car 1 is new and has air-conditioning,…

A: Introduction: The given information on the 8 cars in the showroom can be expressed in the following…

Q: What is the probability that Barbara selects a gold ball? If Barbara selects a ball from Box 1, what…

A:

Q: If 15 people won prizes in the PCSO lottery (assuming that there are no ties), how many ways can…

A: Solution: From the given information, there are 15 people.

Q: Suppose there are 6 roads connecting town B to town C and 4 roads connecting town C to town D. In…

A: According to the given information in this question  Here are 6 roads connecting town B to C  And 4…

Q: How many combinations of names were possible for those three babies?

A: Here given  Parents are having triplet babies and have put 5 unique name cards in a bowl. When the…

Q: if we have a deck of cards and deal out all of the cards: if two people are playing, one card will…

A:

Q: car park attendant loses the name tags for a set of seven car keys, so hands out the keys randomly…

A: We first count the number of ways to return the keys so that no one receives their own key. There…

Q: Please show your solution. In a shipment containing 10 TV sets, 2 are defective. Two TV sets are…

A: Given that  Total TV sets = 10  Defective TV = D = 2 Non Defective TV = ND = 8 Two TV sets are taken…

Q: For a local baseball team, there are 15 players on your team.  Your team is allowed to have 12…

A: (a) Total number of players in a team, n =15 Number of active players, r =12 The number of ways you…

Q: People on a street were asked, what pet(s) do they have at home. Some own a cat, some own a dog,…

A: Given Information, 150 had cats (no info if they have other animal also) 130 – dogs (no info if…

Q: 1) Find the number of permutations of all the letters of the w following conditions

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: There is a  standard deck of 52 cards, a hand of 7 is dealt. Please find How many hands are…

A: Since the deck of cards consists of 52 cards we can say that the total possible outcome for each…

Q: 3. Three men and three women were nominated for THREE positions on the school board. Suppose the…

A: The three men are named A, B, and C.The three women are named D, E, and F.Given exactly one man and…

Q: Assuming all members are eligible, but no one can hold more than one office, list and count the…

A: The given N is (Adam, Bruce, Carrie, Douglas, Emma) it is denoted in the form of (A , B, C, D, E).

Q: 1. An ATM Card PIN consists of 6-digits, each a 0, 1, 2, ..., 8, 9 in succession. a. How many…

A: Given that, An ATM pin has six digits.Each digit can be from the following numbers…

Q: FROM  a group of 6 students A, B,C,D,E AND F , 3 are to be selected in the school commitee  find…

A: From the provided information, Total students in group = 6 A, B, C, D, E and F 3 students need to be…

Q: shows houses to a potential buyer. There are ten houses of the desired price on a list for the area.…

A: Number of ways one could choose three houses from 10 houses, if the order of visit is considered…

Q: Mrs. Mortlock uses a calculator program to select students at random to answer questions during…

A: Given that, There are 28 students in the class. The computer program is used to select the student…

Q: An insurance agent has a list of 9 prospects and decides to telephone 5 how many different ways can…

A: THERE ARE TOTAL 9 PROSPECTS AND ON THE 1ST DAY WE NEED TO CALL THE 5 PROSPECTS THEREFORE TOTAL WAYS…

Q: Recall that a full deck of cards contains 52 cards, 13 cards of each of the four suits. Distribute…

A: The indicator trick can be used to compute the expected value of . This trick involves defining…

Q: . In Namjoon’s drawer, there are 8 identical pairs of purple socks, 5 identical pairs of polka dots…

A: 1) Answer:- Given, Namjoon’s drawer, there are 8 identical pairs of purple socks, that is 16 purple…

Q: Dennis and Grace got married today and are having a photo session together. At a photo session…

A: Given information: There are 12 men and 10 woman taking the photo. Dennis doesn't want any men in…

Q: Assuming all members are eligible, but no one can hold more than one office, list and count the…

A:

Q: A class has 11 students. What is the probality that exactly 4 of the students were born on a weekday…

A: We have to find given probability.

Q: An investment counsellor would like to meet with 10 of his clients on Tuesday, but he has time for…

A: Given: n=10 r= 8

Q: Assume the cards are drawn sequentially and without replacement. In how many ways can 3 diamonds be…

A: Given information- We have given that 3 diamonds be drawn from a standard deck of 52 cards. The…

Q: Recall that a full deck of cards contains 52 cards, 13 cards of each of the four suits. Distribute…

A: The indicator trick can be used to compute the expected value of N. This trick involves defining…

Q: A lottery will randomly choose a four digit number with the following procedure: 10 tiles each with…

A: Ten tiles numbered 0 to 9 are placed in a box.  Four tiles are picked one by one to form a 4-digit…

Q: a.) a defective TV set shall be taken on the first draw? b.) A non-detective shall be taken on the…

A:

Q: A game is played using a four-sided wooden top, with one of four letters on each face, A, B, C, or…

A: Four sided top, Each face has one of 4 letters (A, B, C, D) Now probability will be divided…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.