4. If a multiple-choice test consists of 5 questions each with 4 possible answers of which only one is correct, (a) how many different ways can a student check off one answer to each question? (b) how many ways can a student check off one answer to each question and get all the questions wrong? 5. How many distinct permutations can be made from the word Illinois? 6. (a) How many ways can 6 people be lined up to get on a bus? (b) If a certain 3 persons insist on following each other, how many ways are possible? (c) If a certain 2 persons refuse to follow each other, how many ways are possible? 7. Four married couples have bought 8 seats in a row for a concert. In how many different ways can they be seated (a) with no restrictions? (b) if each couple is to sit together? (c) if all the men sit together to the right of all the women? 8. (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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