Question

2 mathematics paper &5 other papers are to be arranged at an examination find the total number of way if , mathematics papers are consecutive

Answer 1

Answer:

1440 ways

Step-by-step explanation:

Case 1:

Let M1 and M2 are papers of mathematics.

Since total number of papers = n = 7

now attached the papers of mathematics in such a way that

the papers of mathematics in the order

M1 , M2

Consider the attached ordered pair (M1 , M2) as a single paper

and find the permutation of papers

Now after considering the ordered pair (M1 , M2)

as single object

The total numbers of papers become = N = 6

And

we know that

Permutation of 6 objects = 6! = 720

Now

Case 2:

when we consider the papers of mathematics in the order

M2 , M1

that is  the ordered pair of papers of mathematics (M2 ,M1) as the

single object.

Then

Total numbers of object agiain 6

And we know that

Permutation of 6 objects = 6! = 720  

So

In both cases

Total number of permutations in which papers of mathematics are consecutive = 720 + 720 = 1440

Thus

Their are 1440 ways in which papers of mathematics are consecutive.