SOLUTION: In a school, every grade 10 student needs to study 7 subjects out of 14. It is given that 4 of them are core subjects, and the rest are optional. How many arrangements of the subj

Algebra ->  Permutations -> SOLUTION: In a school, every grade 10 student needs to study 7 subjects out of 14. It is given that 4 of them are core subjects, and the rest are optional. How many arrangements of the subj      Log On


   



Question 1173844: In a school, every grade 10 student needs to study 7 subjects out of 14. It is given that 4 of them
are core subjects, and the rest are optional. How many arrangements of the subjects are
available for the student?
Can you help me with this? thank you so much

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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In a school, every grade 10 student needs to study 7 subjects out of 14. It is given that 4 of them
are core subjects, and the rest are optional. How many arrangements of the subjects are
available for the student?
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Every student must take 4 core subjects, and a student should take 3 additional subjects, selecting them

from  14-4 = 10 remaining optional subjects.


So, the total number of all possible combinations is  C%5B10%5D%5E3 = %2810%2A9%2A8%29%2F%281%2A2%2A3%29 = 120.     ANSWER

Solved, explained and completed.