Latest MBA Aptitude Question SOLUTION: How many 4 digit numbers with first digit 2 have exactly two identical digits

1) 144
2) 216
3) 288
4) 648
5) 432

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(#M40015968) MBA question number systems, progressions Keep an EYE

How many 4 digit numbers with first digit 2 have exactly two identical digits

1) 144
2) 216
3) 288
4) 648
5) 432

Asked In MBA (11 years ago)

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Dr.Dipin Singh  (11 years ago)

432
when other identical digit is also 2, then 9*8= 72 ways to select other 2 different digits .
These three digits can be arranged in 6 ways.
so possible numbers = 72*6=432
when identical digit is not 2.
Then number of ways to select other 3 digits = 9*8=72
number of ways to arrange 3 digits = 72*3=216

so total numbers possible = 432+216 = 648

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