CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

How many different 4-digit numbers are possible to construct using the digits 1,3,4,6,7,8 that satisfy all these conditions.
1. the number is between 3300 and 7200
2. the number is even
3. the number has no repeated digit.

Open in App
Solution

Odd digits 1,3,7. Even digits 4,6,8
1st place can be filled by 3,4,6,7

Case I: 3 is at 1st place.
3
Since number is even, 4th place can be filled in 3 ways and 2nd place in 3 ways.
Number of ways =1×3×3×3=27

Case II: 4 is at 1st place.
4
Number of ways =1×4×3×2=24

Case III: 6 is at 1st place.
6
Number of ways =1×4×3×2=24

Case IV: 7 is at 1st place.
7
Number of ways =1×1×3×3=9

Hence, total number of ways
=27+24+24+9=84 ways

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