Latest Gate Aptitude Question SOLUTION: numbers are 2,2,3,3,3,4,4,4,4.how many 4digit numbers can be formed greater 3000 with help of these without any reapition?

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(#M40001413) GATE Logical Reasoning question Keep an EYE

numbers are 2,2,3,3,3,4,4,4,4.how many 4digit numbers can be formed greater 3000 with help of these without any reapition?

Asked In Gate krishna kumar gupta (13 years ago)

Solved sandeep reddy m Read Solution (3)

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Read Solution (3) :

sandeep reddy m  (13 years ago)

51 is answer
start with 3--- are 3*3*3=27 but in them 3333 and 3222 are not possible because we have 3 4's,2 2's, 2 3's are avilable.
so start with 3=25
start with 4---=3*3*3=27 all numbers are possible except 4222 because we have 3 4's,3 3's,2 2's for 3 places.
so start with 4=26
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so total=25+26=51

Is this solution Helpfull? Yes (25) | No (4)  

Divyanand  (13 years ago)

for first place there are only 2 digits i.e. 3 & 4
for next place there are 3 digits 2 , 3 & 4
for next place there are again 3 digits i.e. 2, 3 & 4
for last place there is only 1 digit i.e. 4
so maximum no that can be formed is 2X3X3X1 = 18.

so 18 is the ans

Is this solution Helpfull? Yes (6) | No (15)  

Gaurav Singh  (7 years ago)

we have been given three distinct numbers that are 2 3 4 and we are asked to make 4 digit number and that too without repetition which is not possible
OR
4 position are to be filled
with 3 numbers (because any type of repetition is not allowed) is not possible

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