PATHS
Number of ways to arrange the letters of
PASCAL'S TRIANGLE
Number of paths
FACTORIALS
100

number of ways from point A to point B



15

100

MAINE

120

100

What is the sum of the 4th row of Pascal's Triangle? 

16

100

number of ways to spell PATTERNS

128

100

Number of ways for 7 girls to line up in a straight line.

5,040

200

How many paths are there to get from A to B using exactly 12 steps?

495

200

NEBRASKA

20160

200

A coin is flipped 10 times. In how many ways can it come up 9 heads?

10

200

NUMBER OF WAYS TO SPELL CORRECT

64

200

Largest factorial that doesn't end in a zero.

4!

300

In how many ways can you get from 8 to 15 going  right and down using exactly 8 steps?

70

300

ALASKA

120

300

Eight boys compete for 4 spots on a baseball team. In how many ways can the 4 boys be chosen?

70

300

NUMBER OF WAYS TO SPELL PASCAL

30

300

3 boys and 3 girls sit in a row of chairs. The three boys will sit together and so will the three girls. Number of ways for them to it.

72

400

In how many ways can you get from 5 to 5 using exactly 10 steps?

252

400

FLORIDA

5040

400

Twelve coins are flipped. There are 495 ways that 8 heads can show up. What other number of heads has the same number of possible ways to show up?

4

400

NUMBER OF WAYS TO SPELL MATHEMATICS

1024

400

Number of ways a teacher can choose 3 people from 10 to be on a committee.

720

500

Number of paths from A to B in exactly 8 steps

36

500

MISSISSIPPI

34650

500

The sum of the tenth row of Pascal's Triangle is______.

1024

500

number of ways to spell MATHEMATICS

672

500

Number of zeros at the end of 22! 

4