Count a row if a specific date falls between two columns of dates

[Tarver]

I have two columns of dates, a start date and an end date. I need a formula to count the number of rows that have a start date before or during a specific month, and rows that have an end date during or after that month. I can't for the life of me figure out how to do this.

For example, let's count date ranges that fall in the month of January. There are six different possibilities, as I figure it, and I need to count four of them.

Start Date	End Date
1/15/2019	1/20/2019	Both Dates within the month - COUNT
12/30/2018	2/15/2019	Start date before, end date after - COUNT
12/28/2018	1/20/2019	End date within the month - COUNT
1/13/2018	2/15/2019	Start date within the month - COUNT
12/20/2018	12/31/2018	Both dates before the month - DON'T COUNT
2/20/2019	3/14/2019	Both dates after the month - DON'T COUNT

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I've tried doing COUNTIFS combined with an AND and OR function, played with nesting IF with COUNTIF, etc., and I simply can't figure out how to do this. Any help is most appreciated.

BT

 

[DanteAmor]

Try this array formula.
In cell D2 January 1, in E2 January 31

<table border="1" cellspacing="0" style="font-family:Calibri,Arial; font-size:11pt; background-color:#ffffff; "> <colgroup><col style="font-weight:bold; width:30px; " /><col style="width:71.29px;" /><col style="width:76.04px;" /><col style="width:38.97px;" /><col style="width:76.04px;" /><col style="width:76.04px;" /><col style="width:76.04px;" /></colgroup><tr style="background-color:#cacaca; text-align:center; font-weight:bold; font-size:8pt; "><td > </td><td >A</td><td >B</td><td >C</td><td >D</td><td >E</td><td >F</td></tr><tr style="height:19px ;" ><td style="font-size:8pt; background-color:#cacaca; text-align:center; " >1</td><td style="background-color:#ffff00; font-weight:bold; text-align:center; ">Start Date</td><td style="background-color:#ffff00; font-weight:bold; text-align:center; ">End Date</td><td style="background-color:#ffff00; font-weight:bold; "> </td><td style="background-color:#ffff00; font-weight:bold; text-align:center; ">Start Date</td><td style="background-color:#ffff00; font-weight:bold; text-align:center; ">End Date</td><td style="background-color:#ffff00; font-weight:bold; text-align:center; ">Result</td></tr><tr style="height:19px ;" ><td style="font-size:8pt; background-color:#cacaca; text-align:center; " >2</td><td style="text-align:right; ">15/01/2019</td><td style="text-align:right; ">20/01/2019</td><td > </td><td style="text-align:right; ">01/01/2019</td><td style="text-align:right; ">31/01/2019</td><td style="text-align:right; ">4</td></tr><tr style="height:19px ;" ><td style="font-size:8pt; background-color:#cacaca; text-align:center; " >3</td><td style="text-align:right; ">30/12/2018</td><td style="text-align:right; ">15/02/2019</td><td > </td><td > </td><td > </td><td > </td></tr><tr style="height:19px ;" ><td style="font-size:8pt; background-color:#cacaca; text-align:center; " >4</td><td style="text-align:right; ">28/12/2018</td><td style="text-align:right; ">20/01/2019</td><td > </td><td > </td><td > </td><td > </td></tr><tr style="height:19px ;" ><td style="font-size:8pt; background-color:#cacaca; text-align:center; " >5</td><td style="text-align:right; ">13/01/2019</td><td style="text-align:right; ">15/02/2019</td><td > </td><td > </td><td > </td><td > </td></tr><tr style="height:19px ;" ><td style="font-size:8pt; background-color:#cacaca; text-align:center; " >6</td><td style="text-align:right; ">20/12/2018</td><td style="text-align:right; ">31/12/2018</td><td > </td><td > </td><td > </td><td > </td></tr><tr style="height:19px ;" ><td style="font-size:8pt; background-color:#cacaca; text-align:center; " >7</td><td style="text-align:right; ">20/02/2019</td><td style="text-align:right; ">14/03/2019</td><td > </td><td > </td><td > </td><td > </td></tr></table><br /><table style="font-family:Arial; font-size:10pt; border-style: groove ;border-color:#00ff00;background-color:#fffcf9; color:#000000; "><tr><td ><b></b></td></tr><tr><td ><table border = "1" cellspacing="0" cellpadding="2" style="font-family:Arial; font-size:9pt;"><tr style="background-color:#cacaca; font-size:10pt;"><td >Cell</td><td >Array Formula</td></tr><tr><td >F2</td><td >{=SUM(IF(A2:A7 >= $D$2,IF(A2:A7 <= $E$2,1,0),IF(B2:B7 >= $D$2,IF(B2:B7 <= $E$2,1,IF($D$2 >= A2:A7,IF($D$2 <= B2:B7,1,0),0)),0)))}</td></tr></table></td></tr></table>


Array formulas
Entered with Ctrl+Shift+Enter. If entered correctly, Excel will surround with curly braces {}.
Note: Do not try and enter the {} manually yourself

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(Maybe after this post come other simpler formulas )