There are 12 roads connecting 2 cities. In how many ways can Caloy drive from 1 city to another and be back in he can pass through the same road twice? dif they seat alternately?
There are 12 roads connecting 2 cities. In how many ways can Caloy drive from 1 city to another and be back in he can pass through the same road twice? dif they seat alternately?
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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Question
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Word Problems: Answer only the 15 items assigned to you.
can pass through the same road twice?
2. Eight boys and seven girls are to be seated in a row. In how many ways can they be seated if theey seat alternately?
3.
In now many ways can 12 math books, 8 science books and 6 novels be arranged if books of the same nature are
placed together in a book shelf?
4.
A basket contains 5 red balls, 6 green balls, 4 white balls, and 3 blue balls. In how many ways can 12 balls be
chosen if there are to be 3 balls of each color?
5. In how many ways can a class of 40 students elect a president, a vice president, a secretary, a treasurer and a public
relations officer if all students are qualified to run for any positions?
6. There are 15 contestants in a declamation contest, In how many possible sequences can the contestants deliver their
piece?
7. How many ways can the numbers 2, 3, 4, 5, 6, 7, 8, 9, 10 be arranged in a row if any two of the prime numbers are
not placed next to each other?
8. Seven marbles are chosen from 10 marbles of different colors. They are lined up into two lines in which the first
line has 2 marbles and the second line has 5 marbles. In how many ways can this be done?
9. Six cars are in the car park of a shopping arcade. Find the number of ways to park the cars if there are 10 parking
E) A
spaces.
10. Consider the word "PERMIT". Four different letters are taken from it and arranged in a row. How many of them
begin with two vowels?
11. A committee of 5 members is formed from 6 men and 7 women. Find the number of ways to form the committee if
there are more men than women.
12. A box contains 8 blue balls, 6 white balls, and 4 black balls. In how many ways can we select 4 balls such that
none is blue?
13. From a class of 32 girls and 18 boys, how many study groups of 3 girls and 2 boys can be formed?
14. A box of Donuts contains 8 honey dipped, 6 bavarians, and 7 chocolate filled donuts. How many ways can 5
donuts be selected to meet each condition?
15. In a social dance course, there are 6 boys and 6 girls. Jack and Joe are two of them. If a boy is paired with a girl
for dancing, how many possible arrangements are there?
16. In a school sports day, every student has to participate in at least one but more than three events out of 20. In how
many different combinations of events can a student participate in?
17. Four applicants (A, B, C, D) applied for a post in the sales department. If only two of them will be employed, find
the number of possible combinations of successful applicants.
18. Lyle has a choice of entering the gymnasium from 8 entrances and leaving from 5 exits. In how many ways can
Lyle enter and leave the gymnasium?
19. Paulo has ten posters to post in his room but there is space for only 6 posters. In how many ways can Paulo choose
the posters to be posted?
20. There are eight physics books, six English books and five world history books in shelf. In how many ways can
Markus select four physics books, three English books and 3 world history books?
21. In how many ways 5 persons be seated in a row if there are six chairs and one person insist on sitting on the last
chair.
22. Mr. Roderick Lindayag is a Math teacher who has 7 Algebra books, 5 Geometry books, 6 Trigonometry books an
4 Statistics books. In how many ways can he arrange the books if books of the same field are to be together?
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