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Factorials
Distinguishable Permutations
Counting Permutations
Combinations
Word Problems
100
40320
What is 8!
100
362880
Count the number of 9 letter "words" that can be formed using the letters in DRAGONFLY.
100
360
What is 6*P*4
100
12777,711870
What is 51*C*10
100
12 Pairs
There are four candidates for homecoming Queen and three for King. How many king-queen pairs are possible?
200
64864800
What is 13!/4!2!2!
200
362880
Count the number of 9 letter "words" that can be formed using the letters in BUTTERFLY.
200
990
What is 11*P*3
200
9366819
What is 46*C*6
200
34650
How many distinguishable 11-letter "words" can be formed using the word Mississippi?
300
479001600
What is 12!
300
10,080
Count the number of 9 letter "words" that can be formed using the letters in BUMBLEBEE.
300
325
What is 6*P*2
300
120
What is 10*C*3
300
36
Suppose that 2 dice, one red and one green, are rolled. How many different outcomes are possible for the pair of dice?
400
79833600
What is 12!/3!
400
43670016
Count the number of 9 letter "words" that can be formed using the letters in the word LOGARITHM.
400
72
What is 9*P*2
400
15504
What is 20*C*5
400
17296
Juan has money to buy only three of the 48 compact discs available. How many different sets of discs can he purchase?