Question

How many 4-letter permutaions can you form from the letters of the word, "MODEL"?

Answer 1

Do they have to be valid words? Otherwise (5!)/(1!)

Answer 2

you can't use one letter more than once

for first letter , you have 5 choices
second , 4
third , 3
second , 2
first , 1

multiply them all
5*4*3*2*1=

Answer 3

It's four-lettered words so it would just be 5*4*3*2 wouldn't it? Even though it's the same answer the fifth (and last) letter does technically not get used.

Answer 4

makes sense thank you!

Answer 5

what if the word is LINEAR so it has 6 letters but you need to make 4 letter words, how would you do that?

Answer 6

Then it's 6!/(6-4)!=6!/2!

It's n!/p! where n is the number of choices available (in this case 6) and p is the number of choices available minus the number of open spots (in this case 6-4=2)