Question 1147313
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<U>Case 1</U>


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In this case, the sample space is the set  of all objects  { (X, YZW) },


where X is any integer number between 1 and 7 inclusively  and YZW  is the triple of different (non-repeating) 

integer numbers from 1 to 7 inclusively, where <U>X and Y can be equal OR UNEQUAL integer numbers</U>  

(so, there is NO restrictions for equality or inequality of the values of X and Y in this sample set).



The number of elements in this sample space is  7*(7*6*5) = 1470.
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<U>Case 2</U>


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In this case, the sample space is the set of all quadruples { XYZW } of non-repeating integer numbers X, Y, Z and W from 1 to 7, inclusively.



The number of elements in this sample space is  7*6*5*4 = 840.
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