A group of 50 soldiers

[Moshe Gariani]

... suffered the following injuries in battle: 36 soldiers lost an eye, 35 lost an ear, 40 lost a leg and 42 lost an arm.

What is the minimum number of soldiers who must have lost all four?

 

[dazzer6666]

Three

 

[Garry Nelson's Left Foot]

27?

 

[knocky1]

15 at a guess.

 

[StonehamPark]

Two

Edit: One

 

[Saladpack Seagull]

I give up.......

 

[Cadiz Seagull]

35

 

[1066familyman]

Not sure, but I bet none of them got their full pension when they came home.

 

[skipper734]

Three.

 

[JC Footy Genius]

What a lovely festive brainteaser ... 0?

 

[MattBackHome]

Eight?

 

[The Wookiee]

The minimum number must be 1 ?

 

[Norman Baker suck my lozenge]

How many were betrayed by this Tory government and faced trial for killing an enemy?

 

[Blue Valkyrie]

3

 

[Tarpon]

Three

Is correct

 

[Seagull58]

three

 

[MattBackHome]

I make it 14.

Edit. No I don't.

I make it 15


Final answer.

 

[symyjym]

|A∩B∩C∩D|≥50−|Ac|−|Bc|−|Cc|−|Dc| = No idea but it might be 5

 

[Frampler]

Three. This one is far less controversial than the usual brain teasers and probability arguments on here.

 

[Simster]

Definitely 3:

50 soldiers: 36 soldiers lost an eye, 35 lost an ear, 40 lost a leg and 42 lost an arm.

36 lost an eye
15 didn't lose an ear, leaves minimum of 21 who lost an eye and ear
10 didn't lose a leg, leaves minimum of 11 who lost an eye, ear and leg
8 didn't lose an arm, , leaves minimum of 3 who lost an eye, ear, leg and arm