How many numbers are there between 100 and 1000 such that at least one of their digits is 6?
A. 200
B. 225
C. 252
D. 120
Answer: Option C
Solution(By Examveda Team)
numbers between 100 and 1000 = 900 Numbers between 100 and 1000 which do not have digit 6 in any place, = 8 × 9 × 9= 648 Unit digit could take any value of the 9 values (0 to 9, except 6) Tens Digit could take any value of the 9 values (0 to 9, except 6) Hundreds digit could take any value of the 8 values (1 to 9, except 6) numbers between 100 and 1000 which have at least one digit as 6, = 900 - 648
= 252
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Comments ( 1 )
Related Questions on Permutation and Combination
A. 3! 4! 8! 4!
B. 3! 8!
C. 4! 4!
D. 8! 4! 4!
A. 7560,60,1680
B. 7890,120,650
C. 7650,200,4444
D. None of these
A. 8 × 9!
B. 8 × 8!
C. 7 × 9!
D. 9 × 8!
This answer is wrong because numbers between 100 and 1000 are 899