what fraction of the integers between 0 and 1000 include exactly two 6s

what fraction of the integers between 0 and 1000 include exactly two 6s
in Other Math Topics by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

We are looking for 3-digit numbers with 2 of the digits equal to 6.

These numbers will be of the form,

x66

6x6

66x

where, in each case, x is a digit with a value of 0 to 5 and 7 to 9, a total of 9 different values

There will be 9 different values for x in each of the three cases, i.e. 27  in total.

There are 1001 different integers between 0 and 1000.

So the fraction of them that contain exactly 2 sixes is: 2.7%

by Level 11 User (81.5k points)

Related questions

1 answer
find the sum of all the integers from 1 to 1000
asked Feb 2, 2013 in Algebra 2 Answers by anonymous | 699 views
1 answer
-5.8 is between which two integers on the number line
asked Jun 26, 2013 in order of operations by anonymous | 2.2k views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!

Most popular questions within the last 3000 days

  1. 50+50-25X0+2+2= (19)
  2. it takes 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? (3)
  3. Solve 15 -1(12÷4+1)? (4)
  4. 8:4(5+2) (3)
  5. How can i represent 1/3; 3/3; 7/3; 10/3 and 15/3 on a number line? (1)

Most popular tags

87,516 questions
100,279 answers
2,420 comments
732,257 users