# more help on the math final review please

• June 12th 2008, 05:28 PM
lional
more help on the math final review please
what is the total number of diffreent seven letter agreements that can be formed usinng the letters "MILLION"?

possible answers: 30, 210, 1260, 2520.
• June 12th 2008, 05:50 PM
galactus
There are 7 letters which can be arranged in 7! ways.

But, we have repeats. There are 2 L's and 2 I's

So, we divide by the number of repeats.

$\frac{7!}{2!2!}=\frac{5040}{4}$
• June 12th 2008, 05:50 PM
TheEmptySet
Quote:

Originally Posted by lional
what is the total number of diffreent seven letter agreements that can be formed usinng the letters "MILLION"?

possible answers: 30, 210, 1260, 2520.

There are 7 letters in million

The letters "I" and "L" both appear twice

$\frac{7!}{2!\cdot 2!}=\frac{5040}{4}=1260$