mathmath333
  • mathmath333
In how many ways can the letters of the word PATNA be arranged ?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
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mathmath333
  • mathmath333
\(\large \color{black}{\begin{align} & \normalsize \text{In how many ways can the letters of the word PATNA be arranged ?}\hspace{.33em}\\~\\ & a)\ 60 \hspace{.33em}\\~\\ & b)\ 120 \hspace{.33em}\\~\\ & c)\ 119 \hspace{.33em}\\~\\ & d)\ 59 \hspace{.33em}\\~\\ \end{align}}\)
steve816
  • steve816
Hey there! We can simply use factorials to figure this out! Let's do this!!! There are 5 letters, so the number of combination would be 5! but wait, there are 2 A's, and they can be interchanged and still would be the same, so we have to divide by 2!\[\frac{ 5! }{ 2! }=60\]
steve816
  • steve816
So the answer is A! There you have it, Algebra 2 honors class was complete hell, but it was worth it just to answer your question :)

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mathmath333
  • mathmath333
but the answer given in book is d.)59
steve816
  • steve816
Then your book is drunk.
midhun.madhu1987
  • midhun.madhu1987
A repeats 2 times in PATNA... will that have any impact?? Not sure...

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