How many 3 digit numbers have exactly one digit 2 in the number?
Answers
Answer: 225
Step-by-step explanation:
The 3 digits number be _ _ _
Now we cal fill these blanks by 0 ,1,2,3,4,5,6,7,8,9
2 at the unit place
tens place can be fill by = 0,1,3,4,5,6,7,8,9 or 9 choices
Hundred place can be filled by 1,3,4,5,6,7,8,9 or 8 choices
therefore
Number of 3 digits number having 2 at unit place = 9 x 8 = 72
similarly
Number of 3 digits number having 2 at tens place = choices on ones place x choices on hundredth place = 9 x 8 = 72
Number of 3 digits number having 2 at hundredth place= choices on ones place x choices of hundredth place = 9 x 9 = 81
Therefore total 3 digit numbers have exactly one digit 2 in the number = 72+72+81 =225
Hence, there are 225 three digits number have exactly one digit 2 in the number
AMSWER :
SO THERE ARE 225 THREE DIGITS NUMBERS HAVE EXACTLY ONE DIGIT 2 IN THE NUMBER
=》225