Question

Find how many ways the letters of the word DECISIONS can be arranged so that the N is somewhere to the right of D

Answer 1

Assume that n and d are just one letter, there are 2s 2i and 1e 1c 1o
So there are 8elements, so it can be arrenged 8! Times and also n and d can arrenge 2! Times so the answer is 8!*2!

Answer 2

hmmm i think this may be hard

Answer 3

because it says "somewhere" to the right.

Answer 4

well the answer is 45360

Answer 5

really thought provocking

Answer 6

Oops you re right

Answer 7

I answered when they bear to each other

Answer 8

i should probably thingFind how many ways the letters of the word DECISIONS can be arranged so that the N is somewhere to the right of D before i type, but maybe you have to break it up into cases.
if the D is first then there are 7! ways
if D is second there are 6 times 6! ways
if D third there are 6*5 *5! ways etc

Answer 9

Try keeping D constant at each positions and N at any position right to it and permutating remaninig . but the possibility of I coming right and left to D should also be considered

Answer 10

what the heck?? that is not what i typed.
if D is first: 7! ways
if D is second: 6*6! ways
if D is third 6*5*5! ways
etc
stop me if this is nonsense

Answer 11

But now its easier,
Now there are 7different letter and
They can arrenged 9!/2!*2!
There is n is to the right of d or left or d same 2sitituations
So we gonna divided by 2
Finally the answer is=

Answer 12

45360

Answer 13

This one is right i think?

Answer 14

@bkalkan very nice!

Answer 15

:) thanks

Answer 16

Thank you:)

Answer 17

"pure reason" is so much nicer than counting