If you know the names of the remaining six students in the spelling bee, what is the probability of randomly selecting an order and getting the order that is used in the spelling bee?P(selecting the correct spelling bee order)= (Type an integer or a simplified fraction.)
Question
If you know the names of the remaining six students in the spelling bee, what is the probability of randomly selecting an order and getting the order that is used in the spelling bee?P(selecting the correct spelling bee order)= (Type an integer or a simplified fraction.)
Solution
The probability of randomly selecting an order and getting the order that is used in the spelling bee is 1/720.
Here's why:
There are 6 students remaining in the spelling bee. The number of ways to arrange these 6 students is 6 factorial (6!), which equals 720.
This is because the first student could be any of the 6, the second student could be any of the remaining 5, the third any of the remaining 4, and so on, until there is only one student left. So the total number of possible orders is 65432*1 = 720.
However, there is only one correct order (the order
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