Number of Whole number's less than 1000, that can be formed using the digits 0,1,2,3,4,5 is
A
131, when repetition is not allowed
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
216, when repetition is not allowed
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
216, when repetition is allowed
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
347, when repetition is allowed
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C216, when repetition is allowed Case 1: When repetition is not allowed.
The number of one-digit numbers is 6.
The number of two digit numbers is 5×5=25.
The number ot thee-digit numbers is 5×5×4=100.
Hence, the total number are is =6+25+100=131.
Case 2: When repetition is allowed.
The number of one-digit numbers is 6.
The number of two digit numbers is 5×6=30.
The number ot thee-digit numbers is 5×6×6=180.
Hence, the total number are is =6+30+180=216.