Final answer:
To find the number of combinations of 6 items out of 13, use the combination formula C(13, 6) which results in 1716 combinations.So, the correct option is: c) 1716
Step-by-step explanation:
The question asks how many combinations of 6 items can be made from a total of 13 items. This is a problem of combinations in mathematics, specifically a combinatorial problem that can be solved using the combination formula C(n, k) = n! / (k!(n-k)!), where 'n' is the total number of items, 'k' is the number of items to choose, '!' denotes factorial, and C(n, k) represents the number of combinations.
Using the formula, we calculate the combinations of 6 out of 13 as follows: C(13, 6) = 13! / (6!(13-6)!) = 13! / (6!7!) = (13 × 12 × 11 × 10 × 9 × 8) / (6 × 5 × 4 × 3 × 2 × 1) = 1716.
Therefore, the correct answer is (c) 1716, which represents the total number of combinations possible.So, the correct option is: c) 1716