Question 1170587
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            The response of  @akumpo  to part  (2)  is incorrect.



<pre>
In part (2), we consider the letters "RITME" in this order as staying together.


It means that you have 5 objects to permute:


      4 objects are the letters A, L, G and O,  and the 5-th object is this block of letters "RITME" - we consider

      this block as one whole entity.


Therefore, we permute 5 objects and have 120 = 5! = 5*4*3*2*1 permutations (= arrangements).    <U>ANSWER to part (2)</U>




Therefore, the answer to part  (3)  ALSO must be corrected. It is

    P = {{{5!/9!}}} = {{{1/(9*8*7*6)}}} = {{{1/3024}}} = 0.000331.                <U>ANSWER to part (3)</U>
</pre>

Solved.