Latest TCS Aptitude Question SOLUTION: 4. How many 6 digit even numbers can be formed by using 1,2,3,4,5,6 and 7 such that the second last digit is even?

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4. How many 6 digit even numbers can be formed by using 1,2,3,4,5,6 and 7 such that the second last digit is even?

Asked In TCS Dipika Jha (10 years ago)

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TCS 2014  (10 years ago)

if repetation is allowed then 7*7*7*7*3*3=21609
if repetation is not allowed then 2*3*4*5*2*3=720

Is this solution Helpfull? Yes (45) | No (1)  

shankar kumar  (10 years ago)

5*4*3*2*2*3=720
last digit can be 2,4,6= 3 ways
2nd last digit = 2 ways (among 2,4,6 one is already selected so 2 ways)
now we have 4 places and 5 digits left so 5*4*3*2 ways
hence 5*4*3*2*2*3= 720 ways

Is this solution Helpfull? Yes (44) | No (10)  

Rahul Kumar Mehta  (10 years ago)

7*7*7*7*3*3 = 21609

Is this solution Helpfull? Yes (36) | No (13)  

vydehi  (10 years ago)

total there are 7 digits,with 3 even numbers
for a number to be even last digit should be even
hence last digit can be filled in 3ways
2nd last sholud be even that can be filled in 2 ways
remaining 4places can be filled by remaining 5 digits=5! ways
total ways=5!*2*3=720ways

Is this solution Helpfull? Yes (8) | No (3)  

Sriparna Boote  (10 years ago)

if repeatition is allowed 7*7*7*7*3*3
if repeatition is not allowed 5*4*3*2*2*3

Is this solution Helpfull? Yes (4) | No   

shivangi gupta  (10 years ago)

2*3*4*5*3*6=2160
5th position can be filled in 3 ways only

Is this solution Helpfull? Yes (2) | No   

Anay Das  (10 years ago)

7*7*7*7*3*7

Is this solution Helpfull? Yes (2) | No (4)  

pritish beura  (10 years ago)

_ _ _ _ _ _ there are 6 position. To get even no unit digit position should contain even no i.e. 2 or 4 or 6. Let at unit digit position 2 is there..so tharere are other 6 nos which will be placed at 5 position as it's nt mentioned that no repeatation is allowed so for 2 the ans is 5!..same ans for 4 & 6...
The final ans will be 3*5!..

Is this solution Helpfull? Yes (1) | No (8)  

Guru Pranav  (10 years ago)

7*7*7*7*3*3 = 21609

Is this solution Helpfull? Yes | No (1)  

Anay Das  (10 years ago)

sorry,7*7*7*7*3*3

Is this solution Helpfull? Yes | No   

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