SOLUTION: In a school, every grade 10 students 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 students 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 1173419: In a school, every grade 10 students 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 availabe for the students?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
14 subjects: 4Core, 10optional
studying 7 ( 4 being the Core Subjects), How many arrangements:
nCr+=+%28n%21%29%2F%28r%21%28n+-+r%29%21%29
Using nCr on Calculator:
(4C4)(10C3) = 120
Wish You the Best in your Studies.