Flag Algebra> permutations and combinations...
question mark

find the number of ways of arranging 4 subjects in 5 periods such that all the subjects will be there in each arrangement...

sri tej , 13 Years ago
Grade 11
anser 2 Answers
Chegck Punk

Last Activity: 13 Years ago

We know that all the subjects have to be there. So first of all, the data that we have is, we have four periods, each of which have to come atleast once in the arrangement. Now, taking on the remainig period (the fifth one).

Any one of these four peroids can be the fifth one without any restriction, but it will certainly be a repitition.

 

Therefore, first of all, we select one amongst the four periods, by making a selection.

C(4,1) {if that means what we pronounce as 4C1}.

Now, apparently we have five subjects which are to be arranged in five periods with a single repetition. So we manage it to be 

[C(4,1).P(5,5)]/(2!) 

which is the required answer.

CHEGCK

VIRAL SHAH

Last Activity: 13 Years ago


There are 96 ways of arranging 4 sub. in 5 periods.

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...