Permutation, Mathematics

Assignment Help:

A train goin from delhi to jaipur stops at 7 intermediate stations. 5 persons enter the train during the journey with 5 difefrent tickets of same class . How mant different set of tickets they could had??

Solution) This is the condition if they all board the train from Delhi, though if they can board the train from any station . so here is the solution

Every person can have two choices 1) Boarding Station 2)Destination

if B.S= Delhi Des=1,2,3,4,5,6,7,Jaipur = 8 choices

if B.S.= 1  Des=2,3,4,5,6,7,Jaipur = 7 choices

if B.S.= 2  Des=3,4,5,6,7,Jaipur = 6 choices

...

therefore the total type of tickets that a person can have =8+7+6+5+4+3+2+1 = 36choices

Likewise all the fove people can have these choices (May be recurring) .

Then the total choices may be 365

Though if they have different tickets then the permutation possible are 36*35*34*33*32


Related Discussions:- Permutation

Find no. of diagonals, In a polygon no 3 diagnols are concurrent. If the to...

In a polygon no 3 diagnols are concurrent. If the total no of points of intersection are 70 ( interior ). find the no. of diagnols? Ans) Since no 3 diagonals are concurrent, There

Continuity, Continuity : In the last few sections we've been using the te...

Continuity : In the last few sections we've been using the term "nice enough" to describe those functions which we could evaluate limits by just evaluating the function at the po

Differentiation formulas, Differentiation Formulas : We will begin this s...

Differentiation Formulas : We will begin this section with some basic properties and formulas.  We will give the properties & formulas in this section in both "prime" notation &

Differential equation, Question: In the interest of saving up enough mo...

Question: In the interest of saving up enough money for retirement, you have created a bank account to store a  sum of money. Compound interest on  this account is accumulated

Computing limits , Computing Limits :In the earlier section we saw that t...

Computing Limits :In the earlier section we saw that there is a large class of function which allows us to use to calculate limits. However, there are also several limits for whi

Trigonometric ratios, to difine trigonometric ratios of an angle,is it nece...

to difine trigonometric ratios of an angle,is it necessary that the initial ray of the angle must be positive x-axis?

How many feet is the width of the deck, A pool is surrounded through a deck...

A pool is surrounded through a deck that has the similar width all the way around. The total area of the deck only is 400 square feet. The dimensions of the pool are 18 feet throug

each player selects one of her two remaining chips , Consider the followin...

Consider the following parlor game to be played between two players. Each player begins with three chips: one red, one white, and one blue. Each chip can be used only once. To beg

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