How many combinations of three balloons can be chosen from ten balloons?

Answer 1

The number of combinations of three balloons that can be chosen from ten balloons can be calculated using the combination formula ( C(n, r) = \frac{n!}{r!(n-r)!} ). Here, ( n = 10 ) and ( r = 3 ). Thus, the calculation is ( C(10, 3) = \frac{10!}{3!(10-3)!} = \frac{10 \times 9 \times 8}{3 \times 2 \times 1} = 120 ). Therefore, there are 120 different combinations of three balloons that can be chosen from ten.