twixt wrote:

How many even 3 digit integers greater than 700 with distinct non zero digits are there ?

A. 729

B. 243

C. 108

D. 88

E. 77

These types can be handled by considering the number of possibilities for each digit. Start with the one with the most constraints.

1. Last digit can be 2,4,6,8 when the first digit is 7 or 9 and 2,4,6 when the first digit is 8. So there are 4 possibilities in the first case and 3 possibilities in the second case for the last digit.

2. Middle digit cannot be one of the first and last digits and cannot be 0. So there are 7 possibilities

3. When first digit is 7 or 9, then we have (4*7) + (4*7)=56

4. When first digit is 8, we have 3*7=21

5. Total is (3)+(4)= 77

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Srinivasan Vaidyaraman

Sravna Holistic Solutions

http://www.sravnatestprep.com

Holistic and Systematic Approach