Question

how many different 10-letter words (real or imaginary) can be formed from the following letters?

u, v, b, a, k, k, v, j, w, r

ten-letter words (real or imaginary) can be formed with the given letters.
(type a whole number.)

Explanation:

Count the total number of letters

Using the Combinatorics knowledge point

$$ N = 10 $$

Identify the frequency of each unique letter

Using the Combinatorics knowledge point

$$
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$$

Apply the multiset permutation formula

Using the Combinatorics knowledge point

$$ P = \frac{10!}{1! \cdot 2! \cdot 1! \cdot 1! \cdot 2! \cdot 1! \cdot 1! \cdot 1!} = \frac{10!}{2! \cdot 2!} $$

Calculate the final numerical value

Using the Combinatorics knowledge point

$$
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$$

Answer:

<blank>907,200</blank> ten-letter words (real or imaginary) can be formed with the given letters.