A seven digit number is formed using digits 3 | vedclass

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Question

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

Vedclass · Accepted Answer

$\frac{3}{7}$

Vedclass · 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 $=\frac{\frac{6 !}{2 ! 2 ! 2 !}}{\frac{7 !}{3 ! 2 ! 2 !}}=\frac{3}{7}$

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 ..... .

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