The answer is 18C6 which stands for 18!/[6!*(18-6)!] where n! means 1*2*3*...*n.
That simplifies to 18*17*16*15*14*13/(6*5*4*3*2*1) = 18564
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6 if order doesn't matter
from the numbers 4567 we can have 24 numbers
There are infinitely many sets. One possibility is {18, 18, 18, 18, 18, 18}. Another is {15, 16, 17, 19, 20, 21} or {-5000, -4999, -4998, 5034, 5036, 1,000,000,000,000,000}
18 and 6.
That's an easy one six factorial, of course. 6x5x4x3x2x1=your answer