Permutation and Combination Questions for Mphasis

in order that no two Hindi come together we need to have following arrangement.

X E X E X E X……….E X

There are 18 English books so places needs to be is 19

And for the Hindi books 12 places are used 19 c12 = 50388 ways

distinct functions you cannot repeat.

So 10^10

:  triangle needs 3 points

14c3 – 7c3

= 329

There are 3 alternatives to answer the question

So the option can be 312

On one of the option we have that we didn’t answer the question at all

312  - 1

: the 4 books to be together can be treated as 0ne set

So we have 1 set of books and remaining 8 books which makes total 9 books to be placed in shelf

(9-1)!

Now books can be arranged in total of 4 ways

(9-1)! * 4!

Now books can be placed in any direction so

(9-1)! * 4! /2

483, 840

: the number of ways in which a visitor can visit the places are

5c1 + 5c2+ 5c3= 5 +10+10

25 ways

there are M keys which can be used in N ways

Number of ways to select the M keys are M+1

Total ways are (M+1) X(M+1)…………………..N

(M+1)n

Number of different ways of selection are

(M+1)n  - 1

let there be students A to j out of which A and b don’t participate together,

Case 1: neither of A and B come then the remain students’ needs to be selected 8c6

Case 2: only one of them comes i.e. selecting 5 out of 8 and one from A and b

8c6 + 8c5 x 2c1

=728 ways

we can have different colours in 53

= 125