Question

Let n be a positive integer. How many n-digit numbers either begin with 111 or end...

Let n be a positive integer. How many n-digit numbers either begin with 111 or end with 1122? (Warning: be careful for small values of n!)

Homework Answers

Know the answer?
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
Similar Questions
How many 13 bit strings either begin with 00 or end with 111?
How many 13 bit strings either begin with 00 or end with 111?
How many n-digit binary numbers do not start with 0?
How many n-digit binary numbers do not start with 0?
P4: In the following problem, numbers do not begin with zero. (ex: 123456 is a 6-digit...
P4: In the following problem, numbers do not begin with zero. (ex: 123456 is a 6-digit number but 012345 is not.) You may leave your answers unsimplified. (a) How many 6-digit numbers are there? (b) How many 6-digit even numbers are there? (c) How many 6-digit numbers have all odd digits? (d) How many 6-digit numbers have all even digits? (e) How many 6-digit numbers have all distinct digits? (f) The numbers 3514153 and 8068608 are called palindromic because they...
Use the method of direct proof to show that for any positive 5-digit integer n, if...
Use the method of direct proof to show that for any positive 5-digit integer n, if n is divisible by 9, then some of its digits is divisible by 9 too.
1. Let n be an odd positive integer. Consider a list of n consecutive integers. Show...
1. Let n be an odd positive integer. Consider a list of n consecutive integers. Show that the average is the middle number (that is the number in the middle of the list when they are arranged in an increasing order). What is the average when n is an even positive integer instead? 2. Let x1,x2,...,xn be a list of numbers, and let ¯ x be the average of the list.Which of the following statements must be true? There might...
Let X denote a digit that can take any of the values 0 through 9, N...
Let X denote a digit that can take any of the values 0 through 9, N denote a digit that can take any of the values 2 through 9, and Y denote a digit that must be a 0 or a 1. The format of phone numbers in North America is NYX- NNX-XXXX in the old plan, and NXX-NXX-XXXX in the new plan. How many different phone numbers are possible under the old plan and under the new plan?
Let n be a positive integer and p and r two real numbers in the interval...
Let n be a positive integer and p and r two real numbers in the interval (0,1). Two random variables X and Y are defined on a the same sample space. All we know about them is that X∼Geom(p) and Y∼Bin(n,r). (In particular, we do not know whether X and Y are independent.) For each expectation below, decide whether it can be calculated with this information, and if it can, give its value (in terms of p, n, and r)....
How many ways are there to represent a positive integer n as a sum of (a)...
How many ways are there to represent a positive integer n as a sum of (a) k non-negative integers? (b) k positive integers? Note: the order of summation matters. For example, take n = 3, k = 2. Then the possible sums in (a) are 3+0, 2+1, 1+2, 0+3
Let λ be a positive irrational real number. If n is a positive integer, choose by...
Let λ be a positive irrational real number. If n is a positive integer, choose by the Archimedean Property an integer k such that kλ ≤ n < (k + 1)λ. Let φ(n) = n − kλ. Prove that the set of all φ(n), n > 0, is dense in the interval [0, λ]. (Hint: Examine the proof of the density of the rationals in the reals.)
discrete math counting problem How many positive 4 digit numbers ( using digits 1-9) that contain...
discrete math counting problem How many positive 4 digit numbers ( using digits 1-9) that contain at least one 1 and at least one 2 are there?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT