WorksheetsCounting Techniques Mixed Review
Total questions: 13
Worksheet time: 11mins
How many different ways can 8 people be arranged in a row to take a picture?
(a)
The password for an account must be two letters followed by two digits. Repetitions of letters or digits ARE allowed. How many different passwords are possible?
(a)
The password for an account must be two letters followed by two digits. Repetitions of letters or digits are NOT allowed. How many different passwords are possible?
(a)
There are 15 students in a class. How many different ways could two students be selected to carry a box to the office?
(a)
There are 16 students in a club. How many different ways could the elect a president and vice-president?
(a)
How many different ways can you rearrange the letters in the word FATHER?
(a)
How many different ways can you rearrange the letters in the word SISTER?
(a)
Antonio has four shirts, three pairs of pants, and four hats. How many different outfits can he make?
(a)
A passcode must be two digits followed by three letters. How many passcodes are possible if repetitions are NOT allowed?
10×10×26×26×26
10×9×26×25×24
10!
10×9×8×7×6
How many ways can a president, vice-president, and secretary be selected from a club that has 42 members?
42!
42×3
42 nPr 3
42 nCr 3
How many ways can three members of a club be selected to give a presentation on Club Day if there are 42 members in the club?
42!
42×3
42 nPr 3
42 nCr 3
In how many ways could the 42 members of a club line up to get their pictures taken?
42!
42×3
42 nPr 3
42 nCr 3
How many ways can the letters in the word JAMAICA be arranged?
7!
27!
37!
3!7!
