Respuesta :
By using the concept of permutation, it can be calculated that
Fraction of seven number combinations formed used the numbers of the pattern 3795523 will have the two 3's always together = [tex]\frac{360}{1260}[/tex]
= [tex]\frac{2}{7}[/tex]
What is permutation?
Permutation is the arrangement technique that determines how many possible arrangement that can be made in a set where the order of arrangement matters.
Here, concept of permutation is used
Number of 7 number combinations that can be formed using the number 3795523 = [tex]\frac{7!}{2! \times 2!}[/tex] = 1260
The two 3's are always together
Number of 7 digit numbers formed = [tex]\frac{6!}{2!}[/tex] = 360
Fraction of seven number combinations formed used the numbers of the pattern 3795523 will have the two 3's always together = [tex]\frac{360}{1260}[/tex]
= [tex]\frac{2}{7}[/tex]
To learn more about permutation, refer to the link-
https://brainly.com/question/12468032
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