Question

How many different 11-letter arrangements can be made using the letters in the word Firecracker?

Answer 1

Total number of arrangements = 1,663,200

Explanation:

Given:

11 - letter

FIRECRACKER

F = 1

I = 1

R = 3

E = 2

C = 2

A =1

K = 1

Find:

Total number of arrangements = ?

Computation:

Note: Repeated letter will be avoid.

`Number\ of\ arrangements = (!11)/(!3 * !2 * !2)\\\\Number\ of\ arrangements = (!11)/(!3 * !2 * !2) \\\\Number\ of\ arrangements = (11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3)/(3 * 2 * 2 ) \\\\Number\ of\ arrangements = 1,663,200`

Total number of arrangements = 1,663,200