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what fraction of seven number combinations formed used the numbers of the patter 3795523 will have the 2 3's always together

Sagot :

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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