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Snezhnost [94]
3 years ago
7

Please solve this qn.​

Mathematics
1 answer:
Firdavs [7]3 years ago
7 0

<em>please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps</em>

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7 girls audition for 12 roles in a school play. What is the probability that at least 2 of the girls audition for the same part?
Sophie [7]

Answer:

Step-by-step explanation:

This is one minus the probability that all the girls audition for different roles. The total number of ways of assigning roles to the girls is 12^7, because to each of the 7 girls, you have a choice of 12 roles.

Then if each girl is to receive a different role, then there are 12!/5! possibilities for that. If you start assigning roles to the girls, then for the first girl, there are 12 choices, but for the next you have to choose one of the 11 different ones, so 11 for the next, and then one of the 10 remaining for the next etc. etc., and this is 12*11*10*...*6 = 12!/(12-7)! =12!/5!

The probability that a random assignment of one of the 12^7 roles would happen to be one of the 12!/5! roles where each girl has a different role, is

(12!/5!)/12^7 = 12!/(12^7 5!)

Then the probability that two or more girls addition for the same part is the probability that not all the girls are assigned different roles, this is thus:

1 - 12!/(12^7 5!)

6 0
3 years ago
Find the slope of the following line please thank you.
defon

Answer: Slope is 3

Step-by-step explanation:

4 0
3 years ago
Add a number to this data set so that the mode is 4 and the median is 6. P.S show your work plz
viktelen [127]
Https://youtu.be/5C9LBF3b65s this should help you understand it 
4 0
3 years ago
Use the equation s = m - 7 to find the value of s when m = 10.
fgiga [73]
S=3
I believe
Because 7-10=3 and it don’t change the other way I think hahaha
7 0
4 years ago
Read 2 more answers
Help please!!!!! ASAPPPPPPPPPP
crimeas [40]
The answer is
-5/8+9/2=3 7/8 or 31/8
so you should put 31 in the green box

4 0
2 years ago
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