Question 1140609
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a list of whole numbers from 1 to 50 is written on a piece of paper. all the multiples of 5 are then struck 
off from the list. what is the last digit of the product of the remaining numbers.
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            Edwin solved totally different problem,  irrelevant to the problem's question.


            So I came to solve the real problem.



<pre>
First 10 numbers of the sequence are 


    1  2  3  4  5  6  7  8  9  10


When you take off 5 and 10 from this list, you will get the sequence


    1  2  3  4     6  7  8  9


The product of these numbers is  1*2*3*4*6*7*8*9 = 72576.


The last digit of this product is 6.


It gives you an idea that the last digit of the number under the question is  {{{6^5}}} = 6.     <U>ANSWER</U>
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