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WorksheetsMastering Permutations and Combinations
Total questions: 20
Worksheet time: 10mins
What is 5! (5 factorial)?
100
24
120
60
Calculate the number of ways to arrange 4 books on a shelf.
24
30
16
12
How many ways can you choose 3 fruits from a basket of 10?
90
60
120
150
If a password consists of 3 letters followed by 2 digits, how many different passwords can be formed?
123880
345078
175760
675433
What is the value of 7P3 (permutations of 7 taken 3 at a time)?
42
210
504
120
In how many ways can 5 students be seated in a row?
120
60
30
240
Calculate the number of combinations of 6 items taken 2 at a time.
20
5
10
15
If a committee of 4 is to be formed from 10 people, how many different committees can be formed?
150
210
300
180
What is 8C4 (combinations of 8 taken 4 at a time)?
84
28
56
70
How many different ways can you arrange the letters in the word 'MATH'?
20
16
12
24
If you have 12 different books and want to select 5 to take on vacation, how many combinations can you choose?
1024
792
480
600
Calculate the number of ways to select 2 out of 5 different colored balls.
20
10
5
15
If a race has 10 participants, how many ways can the top 3 finishers be arranged?
720
100
90
60
What is the total number of ways to choose 3 toppings from a selection of 8 for a pizza?
36
72
56
48
If a class has 20 students, how many ways can a president and a vice president be chosen?
360
380
300
400
Calculate the number of ways to arrange the letters in the word 'SCHOOL'.
240
180
360
720
If you can choose 2 out of 5 different ice cream flavors, how many combinations can you make?
15
20
10
5
What is the value of 10! / (10-4)!?
5040
40320
10000
720
In how many ways can you select 3 cards from a standard deck of 52 cards?
15000
30000
5000
22100
If you have 6 different shirts and want to wear 2, how many different combinations can you wear?
15
12
20
10
