(A) The letters of the word $OUGHT$ are $G, H, O, T, U$ in alphabetical order.Words starting with $G$: $4! = 24$Words starting with $H$: $4! = 24$Word

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(A) The letters of the word $OUGHT$ are $G, H, O, T, U$ in alphabetical order.Words starting with $G$: $4! = 24$Words starting with $H$: $4! = 24$Words starting with $O$: $4! = 24$Words starting with $TG$: $3! = 6$Words starting with $TH$: $3! = 6$Words starting with $TO G$: $2! = 2$Words starting with $TO H$: $2! = 2$Words starting with $TO U G H$: $1! = 1$Total rank $= 24 + 24 + 24 + 6 + 6 + 2 + 2 + 1 = 89$.

Class 11 Mathematics Permutation and Combination Definition of permutation, Number of permutations with or without repetition, Conditional permutations

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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 :

JEE MAIN 2023 All JEE MAIN

A
$89$
B
$84$
C
$86$
D
$79$

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Permutation and Combination

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Definition of permutation, Number of permutations with or without repetition, Conditional permutations

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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 :

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