How many combinations of 3 out of 18?

Answer 1

To find the number of combinations of 3 out of 18, you can use the combination formula: ( C(n, r) = \frac{n!}{r!(n-r)!} ). Here, ( n = 18 ) and ( r = 3 ). Plugging in the values, we get ( C(18, 3) = \frac{18!}{3!(18-3)!} = \frac{18 \times 17 \times 16}{3 \times 2 \times 1} = 816 ). Therefore, there are 816 combinations of 3 out of 18.