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

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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)   (Show Source): You can put this solution on YOUR website!
.
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?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

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   =  = 120.     ANSWER

Solved, explained and completed.



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