2nd class combinations

From how many elements you can create 4560 combinations of the second class?

Correct result:

n =  96

Solution:

(n2)=n(n−1)2=4560;n>0 n2−n−9120=0  a=1;b=−1;c=−9120 D=b2−4ac=12−4⋅1⋅(−9120)=36481 D>0  n1,2=−b±D2a=1±364812 n1,2=1±1912 n1,2=0.5±95.5 n1=96 n2=−95   Factored form of the equation:  (n−96)(n+95)=0   n>0⇒n=96

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