JEE Main 2021MathematicsProbabilityPermutation And Combination Based ProblemmediumMCQ
JEE Main 2021 — Probability Question with Solution
From: JEE Main 2021 (Online) 26th February Evening Shift
Question
A seven digit number is formed using digits 3, 3, 4, 4, 4, 5, 5. The probability, that number so formed is divisible by 2, is :
Choose an option
▸Show full solutionCorrect option: D
Correct answer
D73
Step-by-step explanation
Digits = 3, 3, 4, 4, 4, 5, 5
Total 7 digit numbers = 2!2!3!7!
Number of 7 digit number divisible by 2 ⇒ last digit = 4
Now 7 digit numbers which are divisible by 2 = 2!2!2!6!
Required probability = 3!2!2!7!2!2!2!6!=73
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