Question

Mary has seven decorative vases to arrange on a shelf. How many different arrangements are possible?

Answer 1

5040

Answer 2

thanks

Answer 3

[AI-generated answer — Explain Bot]

To find the number of different arrangements possible, we can use the concept of permutations. Since Mary has seven vases to arrange on a shelf, the number of different arrangements can be found by calculating the number of permutations of seven objects taken all at once.

The formula for permutations of n objects taken all at once is given by n! (read as "n factorial").

To calculate n!, you multiply all the positive integers from 1 to n together.

In this case, we need to calculate 7!.

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040

Therefore, there are 5040 different arrangements possible for the seven decorative vases on the shelf.