High School

We appreciate your visit to The number of natural numbers less than 7 000 that can be formed using the digits 0 1 3 7 9 repetition of digits allowed. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

The number of natural numbers less than 7,000 that can be formed using the digits 0, 1, 3, 7, 9 (repetition of digits allowed) is equal to:

a) 3125
b) 6250
c) 4687
d) 7812

Answer :

Final answer:

The number of natural numbers less than 7,000 that can be formed using the given digits is 6250.The correct option is b) 6250.

Explanation:

To find the number of natural numbers less than 7,000 that can be formed using the digits 0, 1, 3, 7, and 9 with repetition allowed, we can consider numbers by the number of digits they have, from one to four.

For a one-digit number, there are 5 possibilities (0, 1, 3, 7, 9).For a two-digit number, there are 5 possibilities for the first digit and 5 for the second digit, making 5 x 5 = 25 possibilities.For a three-digit number, the possibilities are 5 x 5 x 5 = 125.

To find the number of natural numbers less than 7,000 that can be formed by using the digits 0, 1, 3, 7, 9 (repetition of digits allowed), we calculate it as follows:

  1. For each place value (units, tens, hundreds, etc.), there are 5 choices (0, 1, 3, 7, 9).
  2. Since we are looking for numbers less than 7,000, the highest place value (thousands) cannot be 0, so it has 4 choices (1, 3, 7, 9).
  3. Multiplying the choices for each place value gives us: 5 x 5 x 5 x 4 = 6250.

The correct option is b) 6250.

Thanks for taking the time to read The number of natural numbers less than 7 000 that can be formed using the digits 0 1 3 7 9 repetition of digits allowed. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada