If you know the names of the remaining 8 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?

Step-by-step explanation:

there are 40320 possible arrangements.  that would be 8!

the probability of picking the correct order randomly would be 1 / 40320 = .0000248015873.

in order words, the probability of picking the correct order on a random basis, such as picking the names out of a hat, is not very good.

for example:

suppose there were only 3 reamining candidate.

3! = 3*2 = 6

there would be 6 possible arrangements.  if the candidates were abc, then the 6 possible arrangements would be:

abc

abc

bac

bca

cab

cba

for 4 candidates, multiply 6 * 4 = 24

then 5 * 24 = 120

then 6*120 = 720

then 7*720 = 5040

then 8 * 5040 = 40320

1 / 6 is manageable.

1 / 24 less.

1 / 8 becomes pretty impossible.

step-by-step explanation:

. your answer will contain x - and y -terms. (1 point) x ( ¿¿ 2 − 7 ) 2 +( y 2 − 9 ) 2 √ ¿ 12. what is the distance from the directrix (the crocodile river) to the point ( x , y )? write this equation. your answer will contain a y -term.

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step-by-step explanation: