Latest TCS Aptitude Question SOLUTION: How many 4 digits number contain the number 2. a) 3170 b)3172 c)3174 d)3168

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(#M40040157) TCS Numerical Ability question permutation and combination Keep an EYE

How many 4 digits number contain the number 2.

a) 3170
b)3172
c)3174
d)3168

Asked In TCS manish niranjan (9 years ago)

Solved amal c Read Solution (4)

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amal c  (9 years ago) Best Solution

option d.
total no. of 4 digit nos are 9000(btwn 1000 and 9999).
consider the case where the nos contain no 2 in it.
so units place can be filled in 9 ways(0,1,3,4,5,6,7,8,9)
smlry,tenths place in 9 ways
hunderedths place in 9 ways
thousands place can be filled in 8 ways only(because 0 cannot come)
so total nos are (9000-(8*9*9*9))=3168

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Puja Dutta  (9 years ago)

9*10*10*10-8*9*9*9=3168

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DEBARSHI BISWAS  (9 years ago)

Total number of four digit numbers =9000 ( 1000 to 9999 )
the units place it can be selected in 9 ways ( 0,1,3,4,5,6,7,8,9)
Tens place it can be selected in 9 ways ( 0,1,3,4,5,6,7,8,9)
Hundreds place it can be selected in 9 ways ( 0,1,3,4,5,6,7,8,9)
Thousands place can be selected in 8 ways ( 1,3,4,5,6,7,8,9) here 0 cannot be taken
Total number of numbers not having digit 2 in it =9 x 9 x 9 x 8 =5832
Total number of numbers having digit 2 in it = 9000-5832 =3168

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MAYUR KURVE  (9 years ago)

Total number of four digit numbers =9000 ( 1000 to 9999 )
the units place it can be selected in 9 ways ( 0,1,3,4,5,6,7,8,9)
Tens place it can be selected in 9 ways ( 0,1,3,4,5,6,7,8,9)
Hundreds place it can be selected in 9 ways ( 0,1,3,4,5,6,7,8,9)
Thousands place can be selected in 8 ways ( 1,3,4,5,6,7,8,9) here 0 cannot be taken
Total number of numbers not having digit 2 in it =9 x 9 x 9 x 8 =5832
Total number of numbers having digit 2 in it = 9000-5832 =3168
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