Question

Exercise 6: How many positive integers between 1 and 10, with n 1 a positive integer, does not have 7 as a digit in their base 10 representation?

0 0
Add a comment Improve this question Transcribed image text
Answer #1

The possible positive integers between 1 and 10n is 10n.

The digit 7 can be at any position from 1 to n in those numbers. Apart from digit 7, there are 9 possible digits.

All possible positive integers between 1 and 9999....n times and not containing 7 is 9 * 9 * ... n times = 9n - 1 (We subtracted by -1 as 0 is also one of possible number which do not contain 7 and we do not want to count the value 0)

The number 10n does not contain the digit 7.

So,  possible positive integers between 1 and 10n and not containing 7 is 9n  -1 + 1 = 9n

Add a comment
Know the answer?
Add Answer to:
Exercise 6: How many positive integers between 1 and 10", with n 1 a positive integer,...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT