The number of $7$ digit numbers which can be formed using the digits $1, 2, 3, 2, 3, 3, 4$ is?

$420$

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$840$

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$2520$

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$5040$

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Solution

The correct option is A
$420$

Find the total numbers which can be formed based on given conditions
Given $1, 2, 3, 2, 3, 3, 4$ are the seven digits.
$2 \to$ two times
$3 \to$ three times
Therefore, total number of seven digits numbers formed $= \frac{7!}{2! 3!} = 420$
Hence, the correct option is $(A)$ .

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The number of 7 digit numbers which can be formed using the digits 1,2,3,2,3,3,4 is?

The correct option is A 420Find the total numbers which can be formed based on given conditionsGiven 1,2,3,2,3,3,4 are the seven digits. 2→two times3→three timesTherefore, total number of seven digits numbers formed=7!2!3!=420Hence, the correct option is A.

The number of $7$ digit numbers which can be formed using the digits $1, 2, 3, 2, 3, 3, 4$ is?