How many numbers greater than #300# can you make with the digits #1#, #2#, #3#, #4#, #5# and #6# ?
1 Answer
Jul 15, 2017
There are a total of
Explanation:
Assuming we are allowed to use each digit at most once to form decimal strings then, we can enumerate the possibilities as follows:

There are
#6*5*4*3*2*1 = 720# suitable#6# digit numbers. 
There are
#6*5*4*3*2 = 720# suitable#5# digit numbers. 
There are
#6*5*4*3 = 360# suitable#4# digit numbers. 
There are
#4*5*4 = 80# suitable#3# digit numbers.
That makes a total of:
#720+720+360+80 = 1880#