JEE Mains · Maths · STD 11 - 6. permutation and combination
The letters of the word \(OUGHT\) are written in all possible ways and these words are arranged as in a dictionary, in a series. Then the serial number of the word \(TOUGH\) is :
- A \(89\)
- B \(84\)
- C \(86\)
- D \(79\)
Answer & Solution
Correct Answer
(A) \(89\)
Step-by-step Solution
Detailed explanation
Lets arrange the letters of \(OUGHT\) in alphabetical order. \(G , H , O , T , U\) Words starting with \(G ----\rightarrow 4 !\) \(H ----\rightarrow 4 !\) \(O ----\rightarrow 4 !\) \(T G ---\rightarrow 3 !\) \(T H ---\rightarrow 3 !\) \(T O O --\rightarrow 2 !\)…
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