In this video, we will learn an important concept of arrangement – Arrange n objects in n places, so that r objects are always consecutive or together – THE BOX METHOD.
We will discuss the concept for different as well as identical objects.
IIT JEE Advanced 2008
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.
(A) The number of permutations containing the word ENDEA is
(B) The number of permutations in which the letter E occurs in the first and the last positions is
(C) The number of permutations in which none of the letters D, L, N occurs in the last five positions is
(D) The number of permutations in which the letters A, E, O occur only in odd positions is
(q) 2 × 5!
(r) 7 × 5!
(s) 21 × 5!
Answer: (A) → (p), (B) → (s), (C) → (q), (D) → (q)
TRY YOURSELF Questions
Find the number of arrangements of the letters of the word INDEPENDENCE. In how many of these arrangements
(i) do the words begin with I and end in P (ii) do all the vowels occur together
(iii) Order of vowels is not changed (iv) there are 5 letters between I and P
(i) 12600 (ii) 16800 (iii) 332640 (iv) 151200
Share this Video – Spread Learning
Link to share: https://youtu.be/KLipR8RZHGM
Permutation and Combination IIT JEE Concepts Playlist Link
Visit our facebook page
Follow us on INSTAGRAM
Follow us on Google Plus
Permutation and combination IIT JEE Main + Advanced, Permutation and Combination IIT JEE Mathematics, Concept of Arrangement, Number of ways to arrange n different objects in n places, Permutation and Combination IIT JEE Questions, counting using Permutations, arranging n object in n places such the r objects are always together, number of way to arrange such that a number of objects are always consecutive, Number of ways to arrange identical objects
Class 11 MATHS ONLINE VIDEO LECTURES, CBSE Class 11 ONLINE PREPARATION, MATHS ONLINE COACHING, CBSE Class 11 ONLINE STUDY MATERIAL, CBSE Class 11 ONLINE TUTORING, BEST ONLINE MATERIAL FOR Class 11, CBSE BOARD EXAM PREPARATION, CBSE Board Maths Exam PREPARATION, CBSE Board Maths Sample Test Paper, IIT JEE 2017 Preparation with JEE Syllabus, NATA PREPARATION, JEE Main 2017, CBSE Board 2017 exam, CBSE Board Maths Sample Test Paper, JEE Main 2017 Sample paper, NDA Maths Sample Paper, NDA Question Paper Maths, NDA 2016 Results, NDA Maths Online Preparation, NATA exam, B. Arch exam, B. Arch maths notes, B. Architecture maths online preparation