Sum problem

Probability Level 1

What is 1 7 \dfrac17 of the number of ways you can rearrange the letters in a 7 letter word that has all different letters?


The answer is 720.

David Pilling by David Pilling , 18, USA

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2 solutions

Hana Wehbi
May 14, 2016

To arrange 7 distinct letters requires 7! ways.

7!/7= 720.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Nice... I like your solution better than mine! :P

David Pilling - 5 years, 1 month ago

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Right now, i just realized they were the same. Sorry about that. By the way, this is probably the only one i got right today among the ones you posted, so i felt like writing a solution. :)

Hana Wehbi - 5 years, 1 month ago
David Pilling
May 13, 2016

The number of ways is 7 ! 7! and 7 ! 7 = 6 ! = 720 \frac{7!}{7} = 6! = \boxed{720}

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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