A FIVE DIGIT NUMBER IS FORMED BY USING THE DIGITS 1,2,3,4,5,6 WITH OUT REPETITIONS . WHAT IS THE PROBABILITY THE NUMBER IS DIVISIBLE BY4? Answers
A) 1/5
B) 5/6
C) 21/65
D) 7/3
E) 2/7
If a number is divisible by 4 the last 2 digits of the number has to be divisible by 4.   If the number ends with 12: Number of possibilities = 4*3 * 2 * 1= 
<gadget id="calculator">4*3 * 2 * 1</gadget>
<output>24</output>
24   number ends with 24: Possibilities= 4*3 * 2 * 1= 
<gadget id="calculator">4*3 * 2 * 1</gadget>
<output>24</output>
24   number ends with 32: Possibilities=24   number ends with 52: Possibilities = 24   number ends with 36: Possibilities =24   number ends with 16: Possibilities = 24   number ends with 64: Possibilities = 24   Total number of possibilities with restriction = 7*24= 
<gadget id="calculator">7*24</gadget>
<output>168</output>
168   Total number of possibilities without restriction= 6! = 720   Probability = 168/720 =21/65   Answer: 21/65
<result>C</result>
A FIVE DIGIT NUMBER IS FORMED BY USING THE DIGITS 1,2,3,4,5,6 WITH OUT REPETITIONS . WHAT IS THE PROBABILITY THE NUMBER IS DIVISIBLE BY4?