The name of a variable in the c programming language is a string that can contain uppercase letters, lowercase letters, digits, or underscores. further, the first character in the string must be a letter, either uppercase or lowercase, or an underscore. if the name of a variable is determined by its first eight characters, how many different variables can be named in c? (note that the name of a variable may contain fewer than eight characters.)

There are 212, 133, 167, 002, 880, different variables.

Explanation:

Beacuse there are 26 possible uppercase letters, 26 lowercases letters, 10 digits and 1 underscore, which are 63 possible chacracters in total.

Strings of length 8

1º character: 53 ways( uppercase or lowercase letter or an underscore)

2º character to 8º character: we have 63 ways

By using the product rule: 53.63.63.63.63.63. 63. 63 = 53. 63⁷

In the same way we have:

strings of length 7: 53. 63⁶

strings of length 6: 53.63⁵

strings of length 5: 53. 63⁴

strings of length 4: 53.63³

strings of length 3: 53. 63²

strings of length 2: 53.63

strings of length 1: 53

Strings fo length eight or less calculate by using the sum rule:

53₊ 53.63₊ 53.63² ₊ 53.63³ ₊ 53.63⁴ ₊ 53.63⁵ ₊ 53.63⁶ ₊ 53.63⁷ = 212,133,167,002,880

solution:

this situation is called an ip conflict.

data from a server is sent in small bits called packets. in an ip conflict, some packets will end up in one computer while some other packets will end up in another computer.

so…overall none of the computers get the data as the original message or picture being sent by the server cannot be retrieved with only half the packets. so it will show up as an error.

thus the final answer is d.