Provide Solution and choose the letter of the correct answer from the choices below.

3. There are four balls of four different colors. Two balls are taken at a time and arranged in a definite order. For example, if a white and red balls are taken, one definite arrangement is white first, red second and another arrangement is red first, white second. How many such arrangements are possible?

A.) 24 B.) 6 C.) 12 D.) 36

4. How many different ways can 5 boys and 5 girls form a circle with boys and girls alternate?

A.) 28,800 B.) 2,880 C.) 5,600 D.) 14,400