# Probability- Even numbers greater than 5000

How many even numbers greater than 5000 can be formed using the digits 1,2,4,5,6. No digits used more than once.[email_link]

http://solvemaths.in/probability-even-numbers-greater-than-5000/AptitudeProbabilityHow many even numbers greater than 5000 can be formed using the digits 1,2,4,5,6. No digits used more than once.

Rajni
Sahsah.rajni@yahoo.comAdministratorSOLVE - ΜΔΓΗŠ
102 such numbers can be formed.

Complete solution attached

Is there q shortcut method to do this ?

This is actually the simplest way to solve this question without missing out on any info.

3 steps.

1. Find 4 digit numbers which start with 5 to cover 5001-5999 range. (1×3×2×3)

2. Find 4 digit numbers starting with 6 to cover 6000-onwards. (1×3×2×2)

3. Find 5 digit numbers. (4×3×2×1×3)

Add them all together.