Question

In how many ways can the letters of the word 'principle' be arranged? In what proportion of these arrangements do the letters 'p' come together?

Answer 1

Permulation Formula
\[nPr=\frac{ n! }{ (n-r)! }\]

There are 9 letters in the word PRINCIPLE.
9P9=90720

Answer 2

if every letter was different there would be 9! ways
but there are 2p's and 2 i's in principal
- do you know how to cater for this?

Answer 3

PRINCIPLE=9
So 9!/2!2!
Because there are 2 p's and 2 i's

Answer 4

I did that, its wrong.. the answer is 90, 720; 2/9

Answer 5

The answer is 90,720.

Answer 6

my bad sorry i read the answer wrong, thankyou x

Answer 7

9*8*7*6*5*4*3*2*1=362880
and 2!2!=2*1 2*1=4

362880/4=90,720.