JEE  >  Matrix-Match Type Questions: Permutations and Combinations | JEE Advanced

# Matrix-Match Type Questions: Permutations and Combinations | JEE Advanced Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE

## Document Description: Matrix-Match Type Questions: Permutations and Combinations | JEE Advanced for JEE 2022 is part of Maths 35 Years JEE Main & Advanced Past year Papers preparation. The notes and questions for Matrix-Match Type Questions: Permutations and Combinations | JEE Advanced have been prepared according to the JEE exam syllabus. Information about Matrix-Match Type Questions: Permutations and Combinations | JEE Advanced covers topics like and Matrix-Match Type Questions: Permutations and Combinations | JEE Advanced Example, for JEE 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Matrix-Match Type Questions: Permutations and Combinations | JEE Advanced.

Introduction of Matrix-Match Type Questions: Permutations and Combinations | JEE Advanced in English is available as part of our Maths 35 Years JEE Main & Advanced Past year Papers for JEE & Matrix-Match Type Questions: Permutations and Combinations | JEE Advanced in Hindi for Maths 35 Years JEE Main & Advanced Past year Papers course. Download more important topics related with notes, lectures and mock test series for JEE Exam by signing up for free. JEE: Matrix-Match Type Questions: Permutations and Combinations | JEE Advanced Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE
 1 Crore+ students have signed up on EduRev. Have you?

Each question contains statements given in two columns, which have to be matched. The statements in Column-I are labelled A, B, C and D, while the statements in Column-II are labelled p, q, r, s and t. Any given statement in Column-I can have correct matching with ONE OR MORE statement(s) in ColumnII. The appropriate bubbles corresponding to the answers to these questions have to be darkened as illustrated in the following example :

If the correct matches are A-p, s and t; B-q and r; C-p and q; and D-s then the correct darkening of bubbles will look like the given.

Q.1. Consider all possible permutations of the letters of the word ENDEANOEL. Match the Statements / Expressions in Column I with the Statements / Expressions in Column II and indicate your answer by darkening the appropriate bubbles in the 4 × 4 matrix given in the ORS.             (2008)
Column I                                                                                                      Column II

(A) The number of permutations containing the word ENDEA is           (p) 5!
(B) The number of permutations in which the letter E occurs in           (q) 2 × 5!
the first and the last positions is
(C) The number of permutations in which none of the letters                (r) 7 × 5!
D, L, N occurs in the last five positions is
(D) The number of permutations in which the letters A, E, O                (s) 21 × 5!
occur only in odd positions is

Ans.  (A)-p; (B)-s; (C)-q; (D)-q (A)

Sol.
(A) For the permutations containing the word ENDEA we consider 'ENDEA' as single letter. Then we have total ENDEA, N, O, E, L i.e. 5 letters which can be arranged in 5! ways. ∴ (A) → (p)

(B) If E occupies the first and last position, the middle 7 positions can be filled by N, D, E, A, N, O, L.
These can be arranged in = 21 x 5! ways.

∴ (B) → (s)

(C) If none of the letters D, L, N occur in the last five positions then we should arrange D, D, L, N at first four positions and rest five i.e. E, E, E, A,O at last five positions. This can be done in

ways . (C) → (q)

(D) As per question A, E, E, E, O can be arranged at 1st, 3rd, 5th, 7th  and 9th positions and rest N, D, N, L at rest 4 positions. This can be done in

ways = 2 x 5! ways (D) → (q)

The document Matrix-Match Type Questions: Permutations and Combinations | JEE Advanced Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE is a part of the JEE Course Maths 35 Years JEE Main & Advanced Past year Papers.
All you need of JEE at this link: JEE

## Maths 35 Years JEE Main & Advanced Past year Papers

132 docs|70 tests
 Use Code STAYHOME200 and get INR 200 additional OFF

## Maths 35 Years JEE Main & Advanced Past year Papers

132 docs|70 tests

### Top Courses for JEE

Track your progress, build streaks, highlight & save important lessons and more!

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

;