The number of ways to arrange x successes among n trials is equal to ( n! ) / ( x! ( n - x )! ) .
We need o find the number of ways to arrange x successes among n trials. And to find the number of ways to arrange x successes among n trials we will use the formula mentioned below;
( n! ) / ( x! ( n - x )! )
Here, to find the value of n! and x! we can use the formula mentioned below;
n! = n × ( n -1 ) × ( n - 2 ).............. ×1
x! = x (x - 1) ( x - 2 ).............×1
Thus, we can conclude that ( n! ) / ( x! ( n - x )! ) represents the number of ways to arrange x successes among n trials.
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