Answer: 120
Explanation: The problem can be solved using combination which is a mathematical approach used to determine the number of different possible arrangements from a certain collection where the order of arrangement isn't considered.
Combination is calculated using the formula :
nCr = (n!) ÷ ((n-r)! * r!)
In the question above;
n = 10, r = 3
Therefore,
nCr = 10C3
nCr = (10!) ÷ ((10 - 3)! * 3!)
nCr = 3628800 ÷ (7! *3!)
nCr = 3628800 ÷ 5040 * 6
nCr = 3628800 ÷ 30240
nCr = 120