Final answer:
To find n(a × c) with a = 2 and c taking the values 4, 5, 6, calculate each product and count the unique results. The calculations are 2 × 4 = 8, 2 × 5 = 10, and 2 × 6 = 12. Therefore, n(a × c) is 3.
Step-by-step explanation:
The question involves finding the product of given values of a and c, where n(a × c) indicates the number of unique products you can obtain. Given that a = 2 and c can take the values 4, 5, 6, we should calculate each product separately. The individual products are:
- 2 × 4 = 8
- 2 × 5 = 10
- 2 × 6 = 12
Since all the products are unique, n(a × c) or the number of unique products is 3, illustrating the variety and individuality within the resultant products from the given combinations of a and c, crucial in understanding mathematical relationships and possibilities within set parameters.