19. Determine the number of five-letter code words that can be formed from the word mommy.

Mathematics

1 answer:

bija089 [108]3 years ago

7 0

Answer:

20 unique words

Step-by-step explanation:

mommy is a 5 letter word. So initially we would think there are 5! = 120 words to spell from here. however, If we are looking for unique solutions, we need to consider that there are 3 m's. the multinomial theorem says that we should divide by each group of duplicates so 5!/(3!1!1!) = 5!/3! = 20 unique words

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6 0

3 years ago

Read 2 more answers

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liraira [26]

$\bf \sqrt{2}\left(3\sqrt{2}+\sqrt{18} \right)~~
\begin{cases}
18=2\cdot 3\cdot 3\\
\qquad 2\cdot 3^2
\end{cases}\implies \sqrt{2}\left(3\sqrt{2}+\sqrt{2\cdot 3^2} \right)
\\\\\\
\sqrt{2}\left(3\sqrt{2}+3\sqrt{2} \right)\implies \sqrt{2}\left(6\sqrt{2} \right)\implies 6\left(\sqrt{2}\right)^2\implies 6\cdot 2\implies \stackrel{rational}{12}$