If a multiple-choice test consists of 5 questions, each with 4 possible answers of which only 1 is correct, (a) in how many different ways can a student check off one answer to each question? (b) in how many ways can a student check off one answer to each question and get all the answers wrong?
If a multiple-choice test consists of 5 questions, each with 4 possible answers of which only 1 is correct, (a) in how many different ways can a student check off one answer to each question? (b) in how many ways can a student check off one answer to each question and get all the answers wrong?
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
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Transcribed Image Text:• If a multiple-choice test consists of 5 questions,
each with 4 possible answers of which only 1 is correct,
(a) in how many different ways can a student check off
one answer to each question?
(b) in how many ways can a student check off one
answer to each question and get all the answers
wrong?
• (a) How many distinct permutations can be
made from the letters of the word COLUMNS?
(b) How many of these permutations start with the let-
ter M?
• (a) How many three-digit numbers can be
formed from the digits 0, 1, 2, 3, 4, 5, and 6 if
each digit can be used only once?
(b) How many of these are odd numbers?
(c) How many are greater than 330?
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