The number of ways in which 2 letters can be chosen from the set { L,M,N,P } if order is important and repetition is allowed, by using a tree diagram.

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Answer 1

Question

Chapter 8.2, Problem 16E

(a)

To determine

The number of ways in which 2 letters can be chosen from the set {L,M,N,P} if order is important and repetition is allowed, by using a tree diagram.

(b)

To determine

The number of ways in which 2 letters can be chosen from the set {L,M,N,P} if order is important and repetition is not allowed, by using a tree diagram.

(c)

To determine

The number of combinations of 4 elements taken 2 at a time.

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We roll four times in a row a balanced die numbered from 1 to 6. We note, keeping the order of the throws, the 4 appearing faces. An outcome of the experiment is given by a quadruplet; by (1; 4; 5; 4) means that at the 1st throw it is the I side which appeared, at the 2nd throw the 4 side, at the 3rd the 5 side and at the 4th the example side, 4. 1 Draw up an (incomplete!) Tree which allows us to consider all the possible outcomes of this experiment and give their number 2. We note At the event: “We get at least one six.” A) Define the opposite event A. b) Calculate the probability of A by justifying. C) Deduce the probability of A. 3. We denote by B the event: We obtain four different faces »a) Calculate the probability of B. (You can count the outcomes which realize B by considering a tree.) b) Define the opposite event B of B and calculate its probability.

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Answer 2

Question

Chapter 8.2, Problem 16E

(a)

To determine

The number of ways in which 2 letters can be chosen from the set {L,M,N,P} if order is important and repetition is allowed, by using a tree diagram.

(b)

To determine

The number of ways in which 2 letters can be chosen from the set {L,M,N,P} if order is important and repetition is not allowed, by using a tree diagram.

(c)

To determine

The number of combinations of 4 elements taken 2 at a time.

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Answer 3

Question

Chapter 8.2, Problem 16E

(a)

To determine

The number of ways in which 2 letters can be chosen from the set {L,M,N,P} if order is important and repetition is allowed, by using a tree diagram.

(b)

To determine

The number of ways in which 2 letters can be chosen from the set {L,M,N,P} if order is important and repetition is not allowed, by using a tree diagram.

(c)

To determine

The number of combinations of 4 elements taken 2 at a time.

Expert Solution & Answer

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Answer 4

Question

Chapter 8.2, Problem 16E

(a)

To determine

The number of ways in which 2 letters can be chosen from the set {L,M,N,P} if order is important and repetition is allowed, by using a tree diagram.

(b)

To determine

The number of ways in which 2 letters can be chosen from the set {L,M,N,P} if order is important and repetition is not allowed, by using a tree diagram.

(c)

To determine

The number of combinations of 4 elements taken 2 at a time.

Expert Solution & Answer

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Answer 5

Chapter 8.2, Problem 16E

(a)

To determine

The number of ways in which 2 letters can be chosen from the set {L,M,N,P} if order is important and repetition is allowed, by using a tree diagram.

(b)

To determine

The number of ways in which 2 letters can be chosen from the set {L,M,N,P} if order is important and repetition is not allowed, by using a tree diagram.

(c)

To determine

The number of combinations of 4 elements taken 2 at a time.

Answer 6

Chapter 8.2, Problem 16E

(a)

To determine

The number of ways in which 2 letters can be chosen from the set {L,M,N,P} if order is important and repetition is allowed, by using a tree diagram.

Answer 7

Chapter 8.2, Problem 16E

(a)

To determine

The number of ways in which 2 letters can be chosen from the set {L,M,N,P} if order is important and repetition is allowed, by using a tree diagram.

Answer 8

(b)

To determine

The number of ways in which 2 letters can be chosen from the set {L,M,N,P} if order is important and repetition is not allowed, by using a tree diagram.

Answer 9

(b)

To determine

The number of ways in which 2 letters can be chosen from the set {L,M,N,P} if order is important and repetition is not allowed, by using a tree diagram.

Answer 10

(c)

To determine

The number of combinations of 4 elements taken 2 at a time.

Answer 11

(c)

To determine

The number of combinations of 4 elements taken 2 at a time.

Answer 12

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Answer 13

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Answer 14

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Answer 15

Ch. 8.1 - A combination lock can be set to open to any...Ch. 8.1 - Prob. 2YT Ch. 8.1 - Prob. 3YT Ch. 8.1 - Prob. 4YT Ch. 8.1 - Prob. 5YT Ch. 8.1 - Prob. 6YT Ch. 8.1 - Prob. 7YT Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E

The number of ways in which 2 letters can be chosen from the set { L,M,N,P } if order is important and repetition is allowed, by using a tree diagram.

Solution Summary: The author determines the number of ways in which 2 letters can be chosen from the set leftL,M,N,Pright if order is important and repetition is allowed.

The number of ways in which 2 letters can be chosen from the set {L,M,N,P} if order is important and repetition is allowed, by using a tree diagram.

The number of ways in which 2 letters can be chosen from the set {L,M,N,P} if order is important and repetition is not allowed, by using a tree diagram.

The number of combinations of 4 elements taken 2 at a time.

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