Example on discrete mathematics, Mathematics

Assignment Help:

Suppose that at some future time every telephone in the world is assigned a number that contains a country code, 1 to 3 digits long, that is, of the form X, XX , XXX or followed by a ten-digit telephone number of the form NXX-NXX-XXXX. A telephone number consists of ten digits, which are split into a three-digit area code, a three-digit office code, and a four-digit station code. Because of signaling considerations, there are certain restrictions on some of these digits.

To specify the allowable format, let denote a digit that can take any of the values 0 through 9 and let denote a digit that can take any of the values 2 through 9.

How many different telephone numbers would be available worldwide under this numbering plan?


Related Discussions:- Example on discrete mathematics

Divides a given line-segment externally in the ratio of 1:2, Divides a give...

Divides a given line-segment externally in the ratio of 1:2 Construction: i )Draw BX making an actueangle at B. ii) Starting from B, mark 2 equal points on BX as shown in the f

Example of partial fraction decomposition, Example of Partial Fraction Deco...

Example of Partial Fraction Decomposition Evaluate the following integral. ∫ (3x+11 / x 2 -x-6) (dx) Solution: The 1 st step is to factor the denominator so far as

The multiplication algorithm, THE MULTIPLICATION ALGORITHM :  Some Class 3...

THE MULTIPLICATION ALGORITHM :  Some Class 3 children in a nearby school had been taught the standard multiplication. Algorithm, and had even done reasonably well in the tests bas

Determine the mean of the subsequent numbers, Determine the mean of the sub...

Determine the mean of the subsequent numbers: Example: Determine the mean of the subsequent numbers: 5, 7, 1, 3, 4 Solution: where x'          =

Shares and dividend, a man in rested rupee 800 is buying rupee 5 shares and...

a man in rested rupee 800 is buying rupee 5 shares and then are selling at premium of rupee 1.15. He sells all the shares.find profit

How much sales tax did she pay if items was 6 percent, Lindsay purchased a ...

Lindsay purchased a pocketbook for $45 and a pair of shoes for $55. The sales tax on the items was 6%. How much sales tax did she pay? Find out the price of the two items toget

Properties of dot product - vector, Properties of Dot Product u → • (v...

Properties of Dot Product u → • (v → + w → ) = u → • v → + u → • w →          (cv → ) • w → = v → •(cw → ) = c (v → •w → ) v → • w → = w → • v →

Determine dy & dy if y = cos ( x2 + 1) - x, Determine dy & Δy  if y = cos ...

Determine dy & Δy  if y = cos ( x 2 + 1) - x as x changes from x = 2 to x = 2.03 .  Solution Firstly let's deetrmine actual the change in y, Δy . Δy = cos (( 2.03) 2

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd