Division and Distribution into Groups of Equal Sizes
An n-digit nu...
Question
An n-digit number is a positive number with exactly n digits. Nine hundred distinct n-digit numbers are to be formed using only the three digits 2, 5, and 7. The smallest value of n for which this is possible is
A
6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
7
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
8
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
9
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is B 7 Distinct n-digit numbers which can be formed using digits 2,5,and8are3n. We have to find n so that 3n≥900or3n−2≥100orn−2≥5orn≥7 So the least value of n is 7.