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What is the answer for this? im having a hard time?
PERMUTATION
In how many ways can the letters of the word NEWTON be arranged if they are used once only and taken 6 at a time, assuming:
a.The first N is distinct from the second N?
b.There is no distinction between the two Ns?
1 Answer
- ?Lv 53 years agoFavorite Answer
OK, here you go sweetheart :)
This is NOT that hard!
a) The first N is distinct from the second N?
Treat the first 'N' as any other letter :
So we have :
Number of ways
6! = 720 ways
b) There is no distinction between the two Ns?
If there is NO distinction, then the two 'N's are basically the same.
We worked out above that the number of ways the word can be arranged is 6! = 720 ways.
Number of ways two 'N's can be arranged :
2! = 2 ways
So divide by 2! to get the answer :
Number of ways :
6! /2! = 720 /2 = 360 ways
Hope this helps !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
