Great smiley, I wouldn't shoot that xD

First of all I would push variables you are using for multiple "enemies" into an array, which makes it far more flexible and easier! (So you do not have bDisplay1, bDisplay2, etc, but rather bDisplay[0], ...)

Then when the user clicks I would use something like this:

for (int i = 0; i<numberOfEnemies; i++) {
      if mouseX && mouseY are elements of the smiley[i]       (as the smiley is a perfect circle, that shouldn't be too hard, but                                                                                         some mathematical stuff with radius, Pythagorean theorem,...)
            then userPoints += 50;
            playDeadSmileyAnimation(i);
      else whatever....
}

But I guess there are solutions far easier than mine, I'm not very experienced in Processing either ^^

Maybe some other opinions?

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Capable of English, German, French, Russian and Latin, but simple languages like AS3 or Processing are absolutely killing me!

i would make a "Smiley" class with x, y, alive, radius parameters.

peat_ar solution is very straightforward and the one that pop to my mind straightaway, so I am just going to add a few more bits

well that's my solution too because i you want to do:

Alright, thanks for all the answers. I do not haave the time at the moment to try them out, but i will try them as soon as possible.
Thanks alot everyone, let's hope it works!

Alright, it's me here again. I've been playing around with the things you have said, and created this code now. Please note that i'm not sure if i created the Array correctly or anything, since i've searched around the internet and the fourms and haven't found a very good explanation on how to create one. Maybe i'm just a bit slow, but nonetheless i need some help.
Like i said i've tried to create a array, and entered the code that you told me about, but for some reason, it doesn't find the Array "smileys", even tough that is what i've called it. Any help would be appreciated.

float r;
float rx;
float ry;
float x;
float y;
float dx;
float dy;
PImage Ch;
PImage Bh;
float Bx;
float By;
PImage Enemy;
int Score;
boolean bDisplay;
boolean bDisplay2;
boolean bDisplay3;
boolean bDisplay4;
boolean bDisplay5;
boolean bDisplay6;
boolean bDisplay7;
boolean bDisplay8;
boolean bDisplay9;
boolean bDisplay10;
color c =(255);
color col;
int enemyRadie = 50;
int i;

void setup()
{
  size (800,600);
 Ch = loadImage ("crosshairs.png");
 Bh = loadImage ("BulletHole.png");
 Enemy = loadImage ("Awesome Smiley.png");
 Score = 0;
 boolean[] smileys = new boolean[10];
 for (int i = 0; i <10; i++){
 smileys [0] = bDisplay;
 smileys [1] = bDisplay2;
 smileys [2] = bDisplay3;
 smileys [3] = bDisplay4;
 smileys [4] = bDisplay5;
 smileys [5] = bDisplay6;
 smileys [6] = bDisplay7;
 smileys [7] = bDisplay8;
 smileys [8] = bDisplay9;
 smileys [9] = bDisplay10;
 }

 
}
void draw()
{
  background(c);
  float r = random(0, 250);
  float rx = random (0, 800);
  float ry = random (0, 600);
  {
  if (!bDisplay && r >= 0 && r <= 1) bDisplay = true;
  }
  {
  if (bDisplay) image(Enemy, 100,100);
  }
    {
  if (!bDisplay2 && r >= 1 && r <=2) bDisplay2 = true;
  }
  {
  if (bDisplay2) image(Enemy, 200,250);
  }
  {
  if (!bDisplay3 && r >= 2 && r <= 3) bDisplay3 = true;
  }
  {
  if (bDisplay3) image(Enemy, 350,212);
  }
    {
  if (!bDisplay4 && r >= 3 && r <= 4) bDisplay4 = true;
  }
  {
  if (bDisplay4) image(Enemy, 410,250);
  }
   {
  if (!bDisplay5 && r >= 4 && r  <= 5) bDisplay5 = true;
  }
  {
  if (bDisplay5) image(Enemy, 600,420);
  }
  {
   if (!bDisplay6 && r >= 5 && r  <= 6) bDisplay6 = true;
  }
  {
  if (bDisplay6) image(Enemy, 315,550);
  }
  {
   if (!bDisplay7 && r >= 7 && r  <= 8) bDisplay7 = true;
  }
  {
  if (bDisplay7) image(Enemy, 281,332);
  }
  {
  if (!bDisplay8 && r >= 8 && r  <= 9) bDisplay8 = true;
  }
  {
  if (bDisplay8) image(Enemy, 10,330);
  }
  {
   if (!bDisplay9 && r >= 9 && r  <= 10) bDisplay9 = true;
  }
  {
  if (bDisplay9) image(Enemy, 600,600);
  }
  {
   if (!bDisplay10 && r >= 10 && r  <= 11) bDisplay10 = true;
  }
  {
  if (bDisplay10) image(Enemy, 150,25);
}

void mousePressed()
{
for (int i = 0; i <10; i++){
   float dx = mouseX - smileys[i].position.x;
   float dy = mouseY - smileys[i].position.y;
   float distance = sqrt( dx*dx + dy*dy );
}
    if (distance < 50){

 
    Score = Score + 50;
    println("Check");
    bDisplay = false;
    bDisplay2 = false;
    bDisplay3 = false;
    bDisplay4 = false;
    bDisplay5 = false;
    bDisplay6 = false;
    bDisplay7 = false;
    bDisplay8 = false;
    bDisplay9 = false;
    bDisplay10 = false;
 
}

}

I have not test your code, but you need to make the smileys array a global variable, so you need to declare outside the setup method and put it at the beginning of your code