perms and combs (1 Viewer)

[xXnukerrrXx]

"The letters KETTLE are arranged randomly in a row. Find the probability of the two letters E are together and two letters T are together". I keep getting 1/30. The answer says 2/15.

 

[Coookies]

Not sure if this is right but this is my guess:

6! / 2! 2!
/ 6 (6 letters)
/ 2 (2 non repeated letters)

and its can be EETT or TTEE so 2/15

 

[someth1ng]

"The letters KETTLE are arranged randomly in a row. Find the probability of the two letters E are together and two letters T are together". I keep getting 1/30. The answer says 2/15.

KETTLE

Arrangements with EE and TT=4!=24
Total Arrangements=6!/(2!2!)=180

P(EE and TT)=24/180=2/15