Valentine's Day Problem 1

Probability Level 2

How many different rearrangements of the letters in the word VALENTINE are there?


The answer is 90720.

Raushan Sharma by Raushan Sharma , 20, India

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1 solution

Harsh Khatri
Feb 16, 2016

There are 9 letters out of which 2 are repeated twice. So, total number of words (including VALENTINE) :

⇒ 9 ! 2 ! ⋅ 2 ! = 90720 \displaystyle \Rightarrow \frac{9!}{2!\cdot 2!} = \boxed{90720}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

That is not right. Not all two letters are words.

Thomas Anderson - 5 years, 3 months ago

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Didn't get you. Can you be more clear about what you're asserting?

Harsh Khatri - 5 years, 3 months ago

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