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Solution not provided. Ans. (i) (ii) (iii) - Wired Faculty

Permutations And Combinations

Question

In how many ways can the letters of the word ‘PERMUTATIONS’ be arranged if the:
(i) words start with P and end with S?
(ii) vowels are all together ?
(iii) there are always 4 letters between P and S?

Solution

Solution not provided.
Ans. (i) $fraction numerator 10 factorial over denominator 2 factorial end fraction$
(ii) $fraction numerator 8 space factorial over denominator 2 space factorial end fraction cross times 5 space factorial$
(iii) $14 cross times fraction numerator 10 factorial over denominator space 2 factorial end fraction space or space 7 space cross times space 10 factorial$

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Permutations And Combinations

In how many ways can the letters of the word ‘PERMUTATIONS’ be arranged if the:
(i) words start with P and end with S?
(ii) vowels are all together ?
(iii) there are always 4 letters between P and S?

Some More Questions From Permutations and Combinations Chapter

Determine K, so that K + 2, 4K – 6 and 3K – 2 are three consecutive terms of an A.P.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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For Daily Free Study Material Join wiredfaculty

Permutations And Combinations

In how many ways can the letters of the word ‘PERMUTATIONS’ be arranged if the:(i) words start with P and end with S?(ii) vowels are all together ?(iii) there are always 4 letters between P and S?

Some More Questions From Permutations and Combinations Chapter

Determine K, so that K + 2, 4K – 6 and 3K – 2 are three consecutive terms of an A.P.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

In how many ways can the letters of the word ‘PERMUTATIONS’ be arranged if the:
(i) words start with P and end with S?
(ii) vowels are all together ?
(iii) there are always 4 letters between P and S?