Arithmetic Permutations and combinations Practice test by studybizz

1. Directions (Qs. 1 – 17): Kindly study the following information carefully and answer the question that follows:

1. In how many ways can the letters of

the word ‘THERMOMETER’ be

arranged such that all the vowels occur

together?

2. Among the arrangements that can be

made by using all the letters of the

word “PEOPLE”, in how many

arrangements P’s come together?

3. 8 members are to be selected from a

group of 9 boys and 7 girls. In how

many ways will the members with at

most 3 girls and at least 4 boys be

selected?

4. In how many different ways letters of

the word “DELICIOUS” can be

arranged such that all the consonants

come together?

5. In how many ways the letters of the

word “UNDERDOG” can be arranged

such that the first and last letters are

same and no two vowels are together?

6. A Rectangle table has two seats on

each side. A total of 12 people are

there. In how many ways the seats of

the table can be filled?

7. In how many different ways, the letters of the word ‘DOCTOR’ can be

arranged?

8. Four letters are selected from the word

“BOTTLE” and are rearranged to

form four letter words. How many

words can be formed?

9. If a team of 4 persons is to be selected

from 8 males and 8 females, then in

how many ways can the selections be

made to include at least 1 female.

10. A box contains three blue balls, four

yellow balls and three red balls. The

number of ways in which three balls can be drawn from the box so that at

least one of the balls is yellow is…

11. In a football championship, there are

28 matches. If each team plays one

match with every other team, the

number of teams are…

12. . In an examination, a candidate is

required to pass all six different subjects. The number of ways he can fail

is…

13. how many arrangements of the letters of the word ‘BEYOND’ are possible if they do not begin with BE?

14. A committee of 5 people is to be chosen from a group of 6 men and 4

women. How many committees are

possible if there are to be 3 men and

2 women?

15. Among the arrangements that can be

made by using all the letters of the

word “PEOPLE”, in how many

arrangements P’s come together?