9. John always wears a shirt, pants, socks and shoes. He owns 12 pairs of socks, 3 pairs of shoes, 5 pairs of pants and 5 shirts. How many different outfits can John make?
9. John always wears a shirt, pants, socks and shoes. He owns 12 pairs of socks, 3 pairs of shoes, 5 pairs of pants and 5 shirts. How many different outfits can John make?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Transcribed Image Text:9. John always wears a shirt, pants, socks and shoes. He owns 12 pairs of socks, 3 pairs of shoes, 5
pairs of pants and 5 shirts. How many different outfits can John make?
10. How many passwords using 6 digits where the first two digits must be letters and the last four
digits must be numbers.
11. A door lock on a classroom requires entry of 4 digits. All digits must be numbers, but the digits
cannot be repeated. How many unique codes are possible?
12. How many ways can the numbers 3,5,7 and 8 be arranged if repetition is permitted?
13. How many 4-letter signs can be made from the letters in the word EQUAL if no repetition is
permitted?
14. Double O's Café serves two desserts, cake and pie. They also serve three beverages, coffee, tea
or juice. Suppose you choose one dessert and one beverage. How many possible outcomes are
there?
15.A plate number is made up of three letters from the English alphabet followed by a three-digit
number. How many plate numbers are possible if
a.) the letters and digits can be repeated in the same plate number.
b.) the letters and digits cannot be repeated in the same plate number?
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