What is the product of the largest single-digit prime number and the smallest two-digit prime number?

To find the product of the largest single-digit prime number and the smallest two-digit prime number, we first need to identify these prime numbers.

The largest single-digit prime number is 7. Counting the single-digit prime numbers, we have 2, 3, 5, and 7 — thus, 7 is indeed the largest.

Next, we look for the smallest two-digit prime number. The two-digit prime numbers start from 11. The first few are 11, 13, 17, and so on, but 11 is the smallest.

Now, we calculate the product of these two prime numbers:

[7 \times 11]

Calculating this, we have:

[7 \times 11 = 77]

Thus, the product of the largest single-digit prime number and the smallest two-digit prime number is 77. This makes it the correct answer.