Question

By stringing together 9 different coloured beads, how many different bracelets can be made?

Answer 1

by stringing together 9 different coloured beads one can make 9! (9 factorial ) bracelet.

9! = 9×8×7×6×5×4×3×2×1 = 362880 ways.

hope the answer helps

Answer 2

Given:

A string of 9 different coloured beads.

To Find:

Number of different arrangement of the beads.

Explanation:

There are 9 beads

We have 9 choices to choose from for the first bead.

Now we are left with 8 beads.

We have 8 choices to choose from for the second bead.

Now we are left with 7 beads.

We have 7 choices to choose from for the third bead.

And this goes on until we have no more beads.

So the number of possible combination = 9!

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

9! = 362880

Answer: There are 362880 different ways to combine the beads into a string.