SOLUTION: How many four digit even numbers can be formed from the set {0,1,2,3,4,5,6,7} if repetition of digits is not allowed? A. 1470 B. 750 C. 720 D. 540 Is it right I got 720 fr

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Question 1035440: How many four digit even numbers can be formed from the set {0,1,2,3,4,5,6,7} if repetition of digits is not allowed?
A. 1470
B. 750
C. 720
D. 540
Is it right I got 720 from 6*5*6*4?

Answer by ikleyn(52779)   (Show Source): You can put this solution on YOUR website!
.
How many four digit even numbers can be formed from the set {0,1,2,3,4,5,6,7} if repetition of digits is not allowed?
A. 1470
B. 750
C. 720
D. 540
Is it right I got 720 from 6*5*6*4?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Any of 7 digits in the first (very left)  position (all except 0);
Any of 4 even digits in the fourth, very last position;
Any of remaining 8-2 = 6 digits in the second position from the left;
Any of remaining 5 digits in the third position from the left.

7*4*6*5 = 840 numbers.


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