jee-main 2025 Q6

jee-main · India · session1_28jan_shift2 Permutations & Arrangements Probability via Permutation Counting

Let S be the set of all the words that can be formed by arranging all the letters of the word GARDEN. From the set S, one word is selected at random. The probability that the selected word will NOT have vowels in alphabetical order is :
(1) $\frac { 1 } { 2 }$
(2) $\frac { 1 } { 4 }$
(3) $\frac { 2 } { 3 }$
(4) $\frac { 1 } { 3 }$

Let S be the set of all the words that can be formed by arranging all the letters of the word GARDEN. From the set S, one word is selected at random. The probability that the selected word will NOT have vowels in alphabetical order is :\\
(1) $\frac { 1 } { 2 }$\\
(2) $\frac { 1 } { 4 }$\\
(3) $\frac { 2 } { 3 }$\\
(4) $\frac { 1 } { 3 }$

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