Question 1173844
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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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<pre>
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[10]^3}}} = {{{(10*9*8)/(1*2*3)}}} = 120.     <U>ANSWER</U>
</pre>

Solved, explained and completed.