How many natural numbers less than 1000 can be formed with the digits 1,2,3,4 and 5,
if repetition of digits is allowed?
mlex numbers (2 +91), (11 + 3i).
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Answer:
total number of natural numbers = 155
Step-by-step explanation:
When repetition of digits are allowed:
One digit number can be any of the five numbers 1, 2, 3, 4 or 5, so it can be done in five ways.
The no. of natural numbers with two digits:
Unit place can be filled in any of the five ways.
Tens place can be filled in any of the five ways.
Thus, number of ways for two digit numbers = 5 × 5 = 25
Similarly, no. of natural numbers with three digits = 5^3 = 125
Hence total number of natural numbers = 5 + 25 + 125 = 155
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