PERMUTATION & COMBINATION | IIT JEE CONCEPTS | Part 5 | AIEEE 2004 | Order of Vowels is fixed - Videos

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In this video, we will learn an important concept of restricted permutation or arrangement – Arrange n objects in n places, so that order of r objects is always fixed – USING TWO METHODS

Question Discussed
AIEEE 2004
How many ways are there to arrange the letters of GARDEN with vowels in the alphabetical order
(A) 480 (B) 240 (C) 360 (D) 120
Answer (C)
Three variations of the same question are also discussed.
– Arrange the letters of GARDEN with consonants in the alphabetical order
– Arrange the letters of GARDEN such that the relative order of vowels is fixed
– Arrange the letters of GARDEN such that position of the vowels is fixed

TRY YOURSELF Questions
How many 7 letter words can be formed using word “ARTICLE”, so that order of vowel remains the same
(A) 1680 (B) 420 (C) 840 (D) 210
Answer (C)

Different words can be formed by arranging the letters of the word “SUCCESS”. The number of words in which relative position of the vowels and consonants unaltered is
(A) 20 (B) 60 (C) 10 (D) 40
Answer (A)

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