The notation "B(4, 6)" refers to a specific type of mathematical function known as a binomial coefficient. In this case, it represents the number of ways to choose 4 items from a set of 6 distinct items. The formula for calculating this is given by B(n, k) = \fracn!k!(n-k)! , where n is the total number of items, k is the number of items to choose, and ! denotes factorial. To compute B(4, 6) , we apply the formula: B(6, 4) = \frac6!4!(6-4)! = \frac6!4! \cdot 2! . This simplifies to \frac6 \times 52 \times 1 = 15 . Therefore, there are 15 different ways