Latest self Aptitude Question SOLUTION: HOW MANY FOUR DIGIT NUMBERS CAN BE FORMED FROM 1,2,3,4,5,6,7 WHICH IS GREATER THAN 3400?

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(#M40007821) SELF Logical Reasoning question Probability Keep an EYE

HOW MANY FOUR DIGIT NUMBERS CAN BE FORMED FROM 1,2,3,4,5,6,7 WHICH IS GREATER THAN 3400?

Shiv Kumar (12 years ago)

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Vignesh  (12 years ago)

560 four digit numbers can be formed without repetition.

No. of 4 digit numbers where first digit is 4,5,6 or 7.
==> 4* 6C3 = 4 * 120 = 480

No. of 4 digit numbers where first digit is 3..
second place can be filled by 4,5,6,or 7.
==>no. of possible numbers = 4* 5C2
==> 4 * 20 = 80


total no. of possible numbers formed from 1,2,3,4,5,6 and 7
and greater than 3400 = 480 + 80 = 560

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Sukh  (12 years ago)

There is no condition that digits can not be repeated.

Number of nos starting with 34 i.e
34XX = 1*7*7 = 49
Number of nos starting with 4,5,6,7 = 4*7*7*7
so total possible FOUR DIGIT NUMBERS that CAN BE FORMED FROM 1,2,3,4,5,6,7 WHICH IS GREATER THAN 3400 = 49+28*49= 49*(1+28) =49*29= 1421

so 1421 numbers

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Sanjana Patnaik  (12 years ago)

Four digit Number > 3400=3411 to 3477( using the digit 1 to7)
Thus No. of digits with the given conditions are 67 numbers

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Shiv Kumar  (12 years ago)

Sanjana, 3512 is also grater than 3400. So check your answer

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