Count cells not equal to x or y

Generic formula 

=COUNTIFS(rng,"<>x",rng,"<>y")

Explanation 

To count cells not equal to this or that, you can use the COUNTIFS function with multiple criteria. To count the number of cells that are not equal to "red" or "blue", the formula in E5 is:

=COUNTIFS(rng,"<>red",rng,"<>blue")

In this example "rng" is a named range that equals B5:B10.

How this formula works

The COUNTIFS function counts the number of cells in a range that meet one or more supplied criteria. All conditions must pass in order for a cell to be counted.

In the example shown, there is a list of colors in column B in a named range called rng. We want to count cells where the color not red or blue. To solve this problem, we need two separate conditions: (1) not equal to "red", and (2) not equal to "blue".

Criteria are supplied with range/criteria pairs, and can use logical operators. The key in this case is to use the "not equals" operator, which is <>:

rng,"<>red" // not equal to "red"
rng,"<>blue" // not equal to "blue"

To exclude other colors, add additional range/criteria pairs.

Alternative with SUMPRODUCT

The SUMPRODUCT function can also count cells that meet multiple conditions. For the above example, the syntax for SUMPRODUCT is:

=SUMPRODUCT((rng<>"blue")*(rng<>"green"))