Use a tree diagram to find the number of ways 3 letters can be chosen from the set {P,Q,R} if order is important and a. if repetition is allowed; b. if no repeats are allowed; c. Find the number of combinations of 3 elements taken 3 at a time. Does this answer differ from that in part (a) or (b)? a. If repetition is allowed, how many ways can 3 letters are chosen from the set {P,Q,R} if order is important?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 9ECP: In three-card poker, a hand consists of three cards dealt from a deck of 52. How many different...
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Use a tree diagram to find the number of ways 3 letters can be chosen from the set {P,Q,R} if order is important and
a. if repetition is allowed;
b. if no repeats are allowed;
c. Find the number of combinations of 3 elements taken 3 at a time. Does this answer differ from that in part (a) or (b)?
a. If repetition is allowed, how many ways can 3 letters are chosen from the set {P,Q,R} if order is important?
Transcribed Image Text:K Use a tree diagram to find the number of ways 3 letters can be chosen from the set {P,Q,R} if order is important and a. if repetition is allowed; b. if no repeats are allowed; c. Find the number of combinations of 3 elements taken 3 at a time. Does this answer differ from that in part (a) or (b)? a. If repetition is allowed, how many ways can 3 letters are chosen from the set {P,Q,R} if order is important?
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