QJEEM21Madfd7: JEE Main 2021 Mathematics - Class 12 JEEM21Madfd7 Solution: A seven digit number is formed using digits 3, 3, 4, 4, 4, 5,…

Question

Verified Solution • 2025–26 Session moderate

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 :

Accepted Answer

Digits = 3, 3, 4, 4, 4, 5, 5

Total 7 digit numbers =

\frac{7!}{2! 2! 3!}

Number of 7 digit number divisible by 2

\Rightarrow

last digit = 4

Now 7 digit numbers which are divisible by 2 =

\frac{6!}{2! 2! 2!}

Required probability =

\frac{\frac{6!}{2! 2! 2!}}{\frac{7!}{3! 2! 2!}} = \frac{3}{7}

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