Question
The number of integers greater than 6000 that can be formed using the digits 3, 5, 6, 7 and 8 without repetition is
Answer: Option B
:
B
The integer greater than 6000 may be of 4 digits or 5 digits. So, here two cases arise.
Case I When number is of 4 digits.
Four digit number can start from 6, 7 or 8.
Thus, total number of 4-digit numbers, which are greater than
6000=3×4×3×2=72
Case II When number is of 5 digits.
Total number of five digit numbers which are greater than 6000 = 5! = 120
∴ Total number of integers = 72 + 120 = 192
Was this answer helpful ?
:
B
The integer greater than 6000 may be of 4 digits or 5 digits. So, here two cases arise.
Case I When number is of 4 digits.
Four digit number can start from 6, 7 or 8.
Thus, total number of 4-digit numbers, which are greater than
6000=3×4×3×2=72
Case II When number is of 5 digits.
Total number of five digit numbers which are greater than 6000 = 5! = 120
∴ Total number of integers = 72 + 120 = 192
Was this answer helpful ?
More Questions on This Topic :
Latest Videos
Latest Test Papers
Submit Solution