Question

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).​

Answer 1

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

Answer 2

Answer:

mark me as brainlist.. okay