What is the difference between a "line feed" and a "carriage return"?

A line feed means moving one line forward. The code is \n.
A carriage return means moving the cursor to the beginning of the line. The code is \r.

Windows editors often still use the combination of both as \r\n in text files. Unix uses mostly only the \n.

The separation comes from typewriter times, when you turned the wheel to move the paper to change the line and moved the carriage to restart typing on the beginning of a line. This was two steps.

Since I can not comment because of not having enough reward points I have to answer to correct answer given by @Burhan Khalid.
In very layman language Enter key press is combination of carriage return and line feed.
Carriage return points the cursor to the beginning of the line horizontly and Line feed shifts the cursor to the next line vertically.Combination of both gives you new line(\n) effect.
Reference - https://en.wikipedia.org/wiki/Carriage_return#Computers

Both of these are primary from the old printing days.

Carriage return is from the days of the teletype printers/old typewriters, where literally the carriage would return to the next line, and push the paper up. This is what we now call \r.

Line feed LF signals the end of the line, it signals that the line has ended - but doesn't move the cursor to the next line. In other words, it doesn't "return" the cursor/printer head to the next line.

For more sundry details, the mighty wikipedia to the rescue.

Both "line feed' (0x0A or 10) and 'carriage return' (0x0D or 13) are single-byte values. These values are the accepted standard for LF/CR. Most languages will type these as 'characters.' You can find these values on any standard 'ascii table.'

For examle, in C# a string such as:

String str = "\n\r";

is two characters long (ignoring the hidden end null character '0x00' required in string types). However, you could make an equivalent array of type character such as:

char[] c = new char[](){0x0A,0x0D}; // lf, cr