Question

In how many ways can the letters of the word PATNA be arranged ?

Answer 1

\(\large \color{black}{\begin{align}
& \normalsize \text{In how many ways can the letters of the word PATNA be arranged ?}\hspace{.33em}\\~\\
& a)\ 60 \hspace{.33em}\\~\\
& b)\ 120 \hspace{.33em}\\~\\
& c)\ 119 \hspace{.33em}\\~\\
& d)\ 59 \hspace{.33em}\\~\\
\end{align}}\)

Answer 2

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!\[\frac{ 5! }{ 2! }=60\]

Answer 3

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 :)

Answer 4

but the answer given in book is d.)59

Answer 5

Then your book is drunk.

Answer 6

A repeats 2 times in PATNA... will that have any impact?? Not sure...