how many four digit even numbers less than 6000 thousand can be foremd using the digits 2, 4, 6, 7, 8, 9if no digit is repeated

Question

anonymous · Answer

think of it as picking 4 numbers from that list
how many of them can be in the first place ( <6 )?
how many of them can be in the second slot? (all)
how many in the third? (all)
how many in the last slot, the ones place? (the even ones)
multiply those answers together and you have your answer

anonymous · Answer

No repetitions?

marco26 · Answer

I'm taking a guess|dw:1335360883158:dw|

the first digit must either be 2 and 4 since the condition is less than 6000, so we put 2 on the first slot.

the second digit can be any no. given, so we put 5 (no repetition, we got 6 numbers, the first slot take away the one number)

the third digit can also be any number, so we put 4.

the last digit must either be 2,4,6 in order for the formed number to be even. That's 3 but the first slot already take away 2, or probably 4 and that leaves us two choices. So we put two.

Multiply this 4 number and we get 80 :)

anonymous · Answer

With no replacement, let's look at it exhaustively:
2468  2648  2784  2864  4268  4628  4782  4962
2478  2684  2794  2946  4278  4682  4826  4926
2486  2746  2796  2964  4286  4726  4862
2596  2764  2798  2968  4296  4728  4926
2498  2748  2846  2986  4298  4762  4928
How many did I miss?