How many we can arrange the word SESI?
How many we can arrange the word SESE?
How many we can arrange the word SERI?

Question

anonymous · Answer

24 ways

anonymous · Answer

There are three different questions so there should be three different answers.

anonymous · Answer

in the first case, you have 4 letters you are rearranging, so thats 4! = 24, but two of the letters are the same.  So you divide by 2! = 2  So you final answer is 24/2 = 12.

anonymous · Answer

That should tell you how to do the rest.  Its always going to be 4!, but you divide if any of the letters are repeated.

amistre64 · Answer

3 different questions which all rely on the same logic to solve ...

amistre64 · Answer

the process is more important than the answers :)

amistre64 · Answer

when we have multiple terms that are identical; the formula is:

$$\frac{n!}{n_1!n_2!n_3!...n_k!}$$
if i recall correctly

anonymous · Answer

right right :)

anonymous · Answer

How many we can arrange the word SESI? 
For this question 72 is the answer..

anonymous · Answer

(4!/2!) * 6

anonymous · Answer

Can anyone explain this answer?

anonymous · Answer

There arent even 72 ways to arrange 4 things, there are 4! = 24.  No way the answer can be bigger than 24.

anonymous · Answer

where did that times 6 come from?

anonymous · Answer

4!/2! is the ways of arranging SESI .but among them we also need to arrange.

Taking SS as one and E and I as other two.Among themselves we can arrange in 3! ways.
Thus total no of ways (4!/2!) * 3!

amistre64 · Answer

\begin{array}c
&&s&i&-sesi\
&e\
&&i&s&-seis\
&&e&i&-ssei\
s&s\
&&i&e&-ssie\
&&e&s&-sies\
&i\
&&s&e&-sise\
&&s&i\
&s\
&&i&s\
&&s&i\
e&s\
&&i&s\
&&s&s\
&i\
&&s&s\
&&e&i\
&s\
&&i&e\
   &&s&i\
s&e\
&&i&s\
&&s&e\
&i\
&&e&s\
&&s&e\
&s\
&&e&s\
&&s&s\
i&e\
&&s&s\
&&e&s\
&s\
&&s&e\
\end{array}

etc...