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

Arc length - applications of integrals, Arc Length - Applications of integr...

Arc Length - Applications of integrals In this part we are going to look at determining the arc length of a function.  As it's sufficiently easy to derive the formulas that we'

Prove which divide these sides in the ratio 2: 1, In a right triangle ABC, ...

In a right triangle ABC, right angled at C, P and Q are points of the sides CA and CB respectively, which divide these sides in the ratio 2: 1. Prove that  9AQ 2 = 9AC 2 +4BC 2

Differentiate exponential functions, Differentiate following functions. ...

Differentiate following functions. (a)    R ( w) = 4 w - 5 log 9 w (b)   f ( x ) = 3e x + 10x 3 ln x Solution :  (a) It will be the only example which doesn't includ

This year he is 651/4 inches tall how many inches did grow, Last year Jonat...

Last year Jonathan was 603/4 inches tall. This year he is 651/4 inches tall. How many inches did he grow? Subtract to find outthe difference in heights. You will need to borro

Supply/demand, For the pair of supply-and-demand equations, where x represe...

For the pair of supply-and-demand equations, where x represents the quantity demanded in units of 1000 and p is the unit price in dollars, find the equilibrium quantity and the equ

Properties of exponential form, Properties 1.   The domain of the logar...

Properties 1.   The domain of the logarithm function is (0, ∞ ) .  In other terms, we can just plug positive numbers into a logarithm! We can't plug in zero or a negative numbe

Find out that the relation is an equivalent relation or not, Let m be a pos...

Let m be a positive integer with m>1. Find out whether or not the subsequent relation is an equivalent relation. R = {(a,b)|a ≡ b (mod m)} Ans: Relation R is illust

Markov chain, The Video Club Martin rents movies at "regular price" andat ...

The Video Club Martin rents movies at "regular price" andat "half price". Usually if the films are regularly priced one day, they will be at regular price the next day with probab

Illustration of integration by parts - integration technique, Example of In...

Example of Integration by Parts - Integration techniques Some problems could need us to do integration by parts many times and there is a short hand technique that will permit

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