Use the counting principle to determine the total number of possible outcomes. 1) A student takes a 3 question multiple-choice quiz. There are four options (A,B,C,D) for each question. In how many ways can the student answer the 3 questions? 2) A school district assigns each of their students a password that consists of three unique letters (no repetition), followed by three unique numbers (no repetition), and finally one symbol (@, !, #, $, %, or &) at the end. How many passwords are possible?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.7: Combinations
Problem 24E
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Use the counting principle to determine the total number of possible outcomes.
1) A student takes a 3 question multiple-choice quiz. There are four options (A,B,C,D) for each question. In how many ways can the student answer the 3
questions?
2) A school district assigns each of their students a password that consists of three unique letters (no repetition), followed by three unique numbers (no
repetition), and finally one symbol (@, !, #, $, %, or &) at the end. How many passwords are possible?
Transcribed Image Text:Use the counting principle to determine the total number of possible outcomes. 1) A student takes a 3 question multiple-choice quiz. There are four options (A,B,C,D) for each question. In how many ways can the student answer the 3 questions? 2) A school district assigns each of their students a password that consists of three unique letters (no repetition), followed by three unique numbers (no repetition), and finally one symbol (@, !, #, $, %, or &) at the end. How many passwords are possible?
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