 0
June 30, 2020, 12:11 a.m.
How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4, if repetition of digits is allowed?

How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4, if repetition of digits is allowed?

1. 499
2. 500
3. 375
4. 376
quant
numbers 0
June 30, 2020, 7:31 p.m.

Every number is of 4 digits, starting with 1000.
digits allowed are 0, 1, 2, 3 and 4
Unit digit cannot be 0.
Also repetition is allowed.

Lets calculate

_  _  _  _

for 1st digit we have 3 options i.e. 1, 2, and 3 (as 0 cannot be at thousand place and we will calculate 4000 separately).
3  _  _  _

for 2nd, 3rd and 4th digit we have 5 options.
3  5  5  5 = 375

total numbers are 375 and it says not greater than 4000.
which means we can consider 4000

So, 375 + 1 = 376

Total Integers greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4, if repetition of digits is allowed are 376

Tags
quant
numbers
cat-2019
varc
rc
set-theory
time-speed-distance