## Explanation

Consider for a moment how overlapping dates work. For a project to overlap the dates of other projects, two conditions must be true:

1. The start date must be less than or equal (<=) to at least one other end date and the list.

2. The end date for the project must be greater than or equal to (>=) at least one other start date in the list.

If both of these conditions are true, the project dates must overlap another project in that list.

The SUMPRODUCT function is perfect for this kind of test because it handles array comparisons elegantly.

To check a project start date agains all end dates, we use this expression:

```
($C6<=$D$5:$D$9)
```

To check a project end date agains all end dates, we use this expression:

```
($D6>=$C$5:$C$9)
```

The resulting arrays of TRUE FALSE values are multiplied by each other inside SUMPRODUCT. This coerces the TRUE and FALSE results into 1s and 0s automatically, so the formula is solved like this:

```
=SUMPRODUCT({0;1;1;1;1}*{1;1;1;0;0})>1
=SUMPRODUCT({0;1;1;0;0})>1
=TRUE
```