7. Which is a possible arrangement of 5 persons sitting around a circular table?A.С.В.D.8 Three boys and three girls are to be seated around a dining table. John isamong the boys and does not like any girl to be beside him. Just like John.Lovely does not like any boy beside her. Which of the following could be apossible arrangement?А.С.D. all of the aboveB.

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Answered: 7. Which is a possible arrangement of 5…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Solve the following and pick the correct answer in the choices. a. In how many ways can 4 people arrange themselves in a row for picture taking? а. 4. b. 8. с. 12. d. 24 b. The permutation of n objects arranged in a circle is P=(n-1)!. Find the permutation of 4 objects arranged in a circular table. а. 6 b. 5 с. 4 d. 3 c. Find the number of permutations of the letters of the word CIRCLE. а. 300 b. 320 с. 360 d. 400 d. Solve: C(4,3) а. 24 b. 25 с. 26 d. 27 e. Solve: C(5,5) а. 4b. Зс. 2d. 1 f. In how many ways can a committee consisting of 4 members be formed from 7 people? а. 20 b. 35 с. 45 d. 50
7. A women has 5 blouses, 3 skirts, and 4 pairs of shoes. How many different outfits consisting of a blouse, a skirt, and a pair of shoes can she wear? А 12 В. 27 С. 30 D. 60 8. In how many ways can a president, a secretary, and a treasurer be selected from a committee of seven? с. 30 A. 150 B. 210 D. 840 9. It is the selection of a number of objects from a set where order is not important. B. Combination C. Factorial D. All Of the above A. Permutation _10. It is a set of possible arrangement where order is important. A. Permutation C. Factorial B. Combination D. None of the above
7. Three boys and three girls are seated at the round table. How many different arrangements are possible if the girls and the boys must be seated alternately? О 12 O 24 О 36
A financial institution, Kumpannee, has two departments. Department A has 8 individuals and Department B has 9 individuals. Kumpannee needs to select a team of 5 individuals to produce a forecast on the price of a barrel of crude oil. How many different teams are possible if at most 1 team member should come from Department A? O a. 18,144 ОБ.1,134 O c. 579 O d. 39,312 e. 252
Using the digits 2, 3, 6, 8, and 9, how many 3-digit whole numbers can be formed if а. repetitions are not permitted? а. 14 b. How many ways can you form a 4 member committee from 8 persons? а. 70 A car race will give prizes for the first, second and third placer. In how many ways b. 60 С. 120 d. 625 b. 1680 с. 25 d. 125 С. can the prizes be won if there are 8 contestants? а. 336 ways b. 136 ways с. 300 ways d. 278 ways
A debate team of 4 members is to be formed from a group of 25 students. How many possible teams are possible given the following conditions? a)One of the team members has to be the first speaker, another one has to be the second speaker, a third one has to be the first reply speaker and the other one has to be the second reply speaker. (b) Two of the team members have to be speakers and the two other members of the team have to be reply speakers. (c) No particular role is assigned to any of the students.
12. (18 pts) In a survey of 203 professional athletes, it was found that 98 of them owned a convertible, 86 of them owned a giant screen TV, and 98 owned a sporting goods store. 25 owned a convertible and a store, 36 owned a TV and a store, and 51 owned a convertible and a TV. 15 owned all three items. a. How many athletes did not own any of the three items? b. How many owned à convertible and a TV, but not a store? 36 c. How many athletes owned a convertible or a TV? d. How many athletes owned exactly one type of item in the survey? e. How many athletes owned at least one type of item in the survey? f. How many owned a TV or a store, but not a convertible?
4. from the 7,2,-4,8,5,-2 find M=. O 2( O 2- (- O 5 (7 د( ليس كل ما ورد أعلاه O
1. Choose the correct answer. * A pizza parlor charges $9.00 for a medium pizza and $1.25 for each topping. Sara spent $14.00 on her medium pizza and toppings. How many toppings did she buy? А. 2 toppings В. 3 toppings С. 4 toppings D. 5 toppings A В O c D This is a required question
21. When three professors are seated in a restaurant, the host- ess asks them: "Does everyone want coffee?" The first professor says "I do not know." The second professor then says "I do not know." Finally, the third professor says "No, not everyone wants coffee." The hostess comes back and gives coffee to the professors who want it. How did she figure out who wanted coffee?

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