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The Three Stooges (Larry, Moe, and Curly) and the four Marx Brothers (Chico, Harpo, Groucho, and Zeppo) are randomly assigned a place in line. What is the probability the first three in line will be Moe, Larry, and Curly in that order?

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chikafujiwara

Answer:

[tex]\frac{1}{210}[/tex]

Step-by-step explanation:

We can use the probability that one person will be assigned to one place.

For the first place in line, what is the probability that Moe will stand there?

[tex]\frac{1}{7}[/tex] because there is 7 people and 1 of Moe.

Then, for the second place in line, what is the probability that Larry will stand there?

[tex]\frac{1}{6}[/tex] because there are 6 people now and one of Larry.

Finally, for the third place in line, what is the probability that Curly will stand there?

[tex]\frac{1}{5}[/tex] because there are 5 people now and one of Curly.

To find the probability that they'll stand in that order, we can multiply the probabilities together.

[tex]\frac{1}{7}*\frac{1}{6}*\frac{1}{5}=\frac{1}{210}[/tex]

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