Question

In how many ways can the letters of the word number be arranged if the N is somewhere to the left of U?

Answer 1

what is the word?

Answer 2

sorry lol i thought i put it in. number

Answer 3

oh wait i did lol

Answer 4

oh wow i didnt see it at all lol

Answer 5

ok i know its 24 x 15 but im not sure about the method i did i think theres an easier way

Answer 6

where is the word?

Answer 7

number

Answer 8

i probably should have caps locked it lol

Answer 9

oh number lol!!!

Answer 10

yeah u got it:)

Answer 11

First i would find out how many ways you can place the N and the U with the N to the left of U. Thats going to be:
\[\left(\begin{matrix}6 \\ 2\end{matrix}\right) = 15\]

Answer 12

oh wait we can use a formula it ends up being 6!/2! right

Answer 13

Then i would look at the other four letters, and ask myself how many ways can i rearrange those letters. That would be 4! = 24

So 24*15 is the total number of ways you could rearrange the letters with those requirements.

Answer 14

\[\left(\begin{matrix}n \\ k\end{matrix}\right) = \frac{n!}{k!(n-k)!}\]

Answer 15

so:
\[\left(\begin{matrix}6 \\ 2\end{matrix}\right) = \frac{6!}{2!(6-2)!} = \frac{6*5}{1*2} = 15\]

Answer 16

Master joe deserves to be one lol

Answer 17

and another one :)

Answer 18

hey akshay!

Answer 19

hey joe where have you been?

Answer 20

asleep when im supposed to be lolol

Answer 21

oh i am missing you Sir!!!!!!!! Can you see i have reached level 47?

Answer 22

nice nice! *tear* the kids, they grow so fast these days lolol jk

Answer 23

lol