Permutation

Calculate the number of three-digit numbers that can be formed using the digits 1, 3, 5, 7 and 9 without repetition.

• 60

• 120

• 240

• 945

Tags

CCSS.HSS.CP.B.9

Team A which consists of 6 players wishes to have badminton matches with team B which consists of 7 players. Calculate the number of different single matches that can be held.

• 6

• 7

• 13

• 42

Tags

CCSS.HSS.CP.B.9

Calculate the number of ways how 4 different prizes can be given to 4 participants of a quiz.

• 24

• 20

• 16

• 12

Tags

CCSS.HSS.CP.B.9

Calculate the number of ways to arrange 9 books of different tittles on a book rack.

• 45

• 81

• 368280

• 362880

Tags

CCSS.HSS.CP.B.9

Using the digits 3, 4, 5, 6 and 7, without repetitions, calculate the number of four- digit numbers that are greater than 5000 that can be formed

• 120

• 72

• 24

• 12

Tags

CCSS.HSS.CP.B.9

A group of 4 men and 3 ladies are to be seated in a row for a photo session. If the men and ladies want to be seated alternately, calculate the number of different arrangements

• 144

• 64

• 24

• 12

Tags

CCSS.HSS.CP.B.9

Atiff has 6 durians , 5 papaya and 2 apples. If he wants to arrange these fruits of the same kind have to be grouped together , calculate the numbers of different arrangements. The sizes of the fruits are different.

• 1036800

• 691200

• 518400

• 172800

Tags

CCSS.HSS.CP.B.9

The diagram shows nine letters, find the total number of different arrangements of all the letters if the letters "E" and "S" are to be adjacent to each other

• 362880

• 725760

• 80640

• 903400

Tags

CCSS.HSS.CP.B.9

A code is to be formed using A, B, C , D, E, F, 5, 6, 7 and 8. If the code must consists of 4 letters followed by 3 digits numbers, how many codes can be formed without repetition

• 144

• 8640

• 604800

• 3628800

Tags

CCSS.HSS.CP.B.9

Find the number of ways the word "EIGHT" can be arranged if the vowels must always be side by side.

• 48

• 120

• 12

• 36

Tags

CCSS.HSS.CP.B.9