wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

How many numbers between 100 and 1000 are such that exactly one of the digits is 6?

Open in App
Solution

fixing 6 in hundreds place
6¯¯¯1¯¯¯9¯¯¯91×9×9=81
9 numbers (0,1,2,3,4,5,6,7,8,9) are possible in units and tens place
fixing 6 in tens place
¯¯¯86¯¯¯1¯¯¯98×1×9=72(1,2,3,4,5,7,8,9)(0,1,2,3,4,5,7,8,9)
fixing 6 in units place
¯¯¯8¯¯¯9¯¯¯18×1×9=72(1,2,3,4,5,7,8,9)(0,1,2,3,4,5,7,8,9)8×9×1=72
Hence, total no. of possible selection
=81+72+72
=225

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Summation by Sigma Method
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon