Posted by steve on Tuesday, May 24, 2011 at 9:39pm.
How many six digit numbers greater than 700 000 can be made from the digits 2, 2, 4, 4, 4, 7?
A. 10
B. 60
C. 64
D. 120

math  MathMate, Tuesday, May 24, 2011 at 9:59pm
If it has to be greater than 700000, the first digit must be 7. That leaves us with 5 digits 2,2,2,4,4 to make the remainder of the number.
Here we have 5 digits of which 2 and 3 are identical, so the number of ways to choose the 5 digits is
C(5,3,2) = 5!/(3!2!)
I'll let you do the rest.