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In how many ways can the letters of the word SUCCESS be arranged so that all Ss are together?

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प्रश्न

In how many ways can the letters of the word SUCCESS be arranged so that all Ss are together?

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उत्तर

SUCCESS

Number of letters = 7

Number of ‘S’ = 3

Since we want all ‘S’ together treat all 3 S’s as 1 unit.

Now the remaining letters = 4

∴ Total number of unit = 5

They can be arranged in 5! ways of them C repeats two times.

So total number of arrangements = `(5!)/(2!)` = 60

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पाठ 4: Combinatorics and Mathematical Induction - Exercise 4.2 [पृष्ठ १७८]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 4 Combinatorics and Mathematical Induction
Exercise 4.2 | Q 12 | पृष्ठ १७८

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