Question

How many distinguishable permutation are possible with all the letters of the word SWEETS

Answer 1

Well, do you know how to find distinguishable permutation?-
Wait, no, obviously you don't if you are asking.
Okay, so there are how many letters in "Sweets"?

Answer 2

S=1
W=2
E=3
E=4
T=5
S=6
So, there are 6 letters, correct?

Answer 3

Okay, so you know your equation will look like this:
\[\frac{ 6! }{ ? }\]
Now,
It has
2=E's
and
2=S's
So, install accordingly:
\[\frac{ 6! }{ 2!~2! }\]

Answer 4

Omayghaaaad i got it!!

Answer 5

It's 180

Answer 6

Am I right?

Answer 7

Now,
\[\frac{ 6\times5\times4\times3\times2\times1 }{ 3\times2\times1\times2\times1 }\]
Subtract-
\[6\times2\times2\times2=48\]
I don't understand how you got 180.

Answer 8

Owh im sorry , btw thankyou so much <3