Using the digit 2,3,4,5,6 without repition. How many
a) numbers greater than 40000 can be formed?
the first digit can be 4, 5, or 6 and the others can be any. So that is
3*4*3*2*1 = 72 ways
b) even numbers greater than 40000 can be formed?
The last can be 2 or 4 or 6 and the first can be 4 or 5 or 6
If the last on is 4 or 6 then there is 2*2*3*2*1 = 24
If the last digit is 2 then there is 1*3*3*2*1 = 18
You have to add those two result together to get the total number. 42 ways
c) odd numbers greater than 40000 can be formed?
The last can be 3 or 5 and the first can be 4 or 5 or 6
If the last on is 3 then there is 1*3*3*2*1 = 18
If the last digit is 5 then there is 1*2*3*2*1 = 12
You have to add those two result together to get the total number. 30 ways
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