6. Consider the sample space S = {copper, sodium, nitrogen, potassium, uranium, oxygen, zinc} and the events. A = {copper, sodium, zinc}, B = {sodium, nitrogen, potassium}, C = {oxygen}. List the elements of the sets corresponding to the following events: a. (A N B') U C'; b. B’N C'; с. АПВОС; d. (A' U B') N (A’ N C). 7. Registrants at a large convention are offered 6 sightseeing tours on each of 3 days. In how many ways can a person arrange to go on a sightseeing tour planned by this convention? 8. A developer of a new subdivision offers a prospective home buyer a choice of 4 designs, 3 different heating systems, a garage or carport, and a patio or screened porch. How many different plans are available to this buyer? 9. A witness to a hit-and-run accident told the police that the license number contained the letters RLH followed by 3 digits, the first of which was a 5. If the witness cannot recall the last 2 digits, but is certain that all 3 digits are different, find the maximum number of automobile registrations that the police may have to check. 10. A contractor wishes to build 9 houses, each different in design. In how many ways can he place these houses on a street if 6 lots are on one side of the street and 3 lots are on the opposite side?
6. Consider the sample space S = {copper, sodium, nitrogen, potassium, uranium, oxygen, zinc} and the events. A = {copper, sodium, zinc}, B = {sodium, nitrogen, potassium}, C = {oxygen}. List the elements of the sets corresponding to the following events: a. (A N B') U C'; b. B’N C'; с. АПВОС; d. (A' U B') N (A’ N C). 7. Registrants at a large convention are offered 6 sightseeing tours on each of 3 days. In how many ways can a person arrange to go on a sightseeing tour planned by this convention? 8. A developer of a new subdivision offers a prospective home buyer a choice of 4 designs, 3 different heating systems, a garage or carport, and a patio or screened porch. How many different plans are available to this buyer? 9. A witness to a hit-and-run accident told the police that the license number contained the letters RLH followed by 3 digits, the first of which was a 5. If the witness cannot recall the last 2 digits, but is certain that all 3 digits are different, find the maximum number of automobile registrations that the police may have to check. 10. A contractor wishes to build 9 houses, each different in design. In how many ways can he place these houses on a street if 6 lots are on one side of the street and 3 lots are on the opposite side?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:6. Consider the sample space S =
{copper, sodium, nitrogen, potassium, uranium,
oxygen, zinc} and the events.
A = {copper, sodium, zinc},
B = {sodium, nitrogen, potassium},
{охygen}.
C =
List the elements of the sets corresponding to the following events:
a. (A N B') U C";
b. B’N C';
c. ANBNC;
d. (A' U B') N (A’ N C).
7. Registrants at a large convention are offered 6 sightseeing tours on each of 3 days. In
how many ways can a person arrange to go on a sightseeing tour planned by this
convention?
8. A developer of a new subdivision offers a prospective home buyer a choice of 4
designs, 3 different heating systems, a garage or carport, and a patio or screened porch.
How many different plans are available to this buyer?
9. A witness to a hit-and-run accident told the police that the license number contained
the letters RLH followed by 3 digits, the first of which was a 5. If the witness cannot
recall the last 2 digits, but is certain that all 3 digits are different, find the maximum
number of automobile registrations that the police may have to check.
10. A contractor wishes to build 9 houses, each different in design. In how many ways can
he place these houses on a street if 6 lots are on one side of the street and 3 lots are on
the opposite side?
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