JEE Main 2025MathematicsProbabilityPermutation And Combination Based ProblemeasyMCQ

JEE Main 2025Probability Question with Solution

From: JEE Main 2025 (Online) 28th January Evening Shift

Question

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:

Choose an option

Show full solutionCorrect option: B
Correct answer
B

Step-by-step explanation

A, E,G R D N

(when A & E are in order)

Total case !

Favourable case !

Probablity when not in order

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About this question

This is a previous-year question from JEE Main 2025, covering the Probability chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.