Final answer:
Python is commonly used for writing a program to print patterns for text such as a name or number due to its ease of use. It's chosen over HTML, which is mainly a markup language not typically used for programming such tasks.
Step-by-step explanation:
To design a program that prints a pattern for the name DANNY and the number 773, any of the following programming languages can be used: Python, Java, C++, and HTML. However, printing patterns is often associated with general-purpose programming languages rather than markup languages. Among the choices provided, Python is a very commonly used language for such tasks due to its simplicity and readability. Here is an example using Python:
for char in "DANNY 773":
print("*" * len(char))
This simple program will output a repeated asterisk pattern for each character in the name and number, assuming a function to determine the length of each character in a visual manner is defined. To create more intricate patterns, you might require more complex logic and possibly even use a library or framework designed for rendering patterns or images.