Question

A wheel for a game is to be made by dividing a circular disk into six equal pie-shaped wedges and numbering them from 1 to 6. in how many ways can this numbering be done?

120
720
5,040
explain

Answer 1

720

Explanation:

For the first wedge, you have 6 numbers to choose from .

For the second wedge , you have 5 numbers to choose from .

For the 3rd wedge , you have 4 numbers to choose from .

For the 4th wedge , you have 3 numbers to choose from .

For the 5th wedge , you have 2 numbers to choose from .

For the 6th wedge , you have 1 number to choose from .

Conclusion: this numbering can be done in:

6×5×4×3×2×1 = 720

Note :

Generally ,we write 6×5×4×3×2×1 as 6! and we read it 6 factorial.