How many 6-digit numbers can be formed using | vedclass

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(C) The given number is $112233$,which contains $6$ digits in total.The digits are $1, 1, 2, 2, 3, 3$.Here,the digit $1$ repeats $2$ times,the digit $

Vedclass · Accepted Answer

$90$

Vedclass · Answer

(C) The given number is $112233$,which contains $6$ digits in total.The digits are $1, 1, 2, 2, 3, 3$.Here,the digit $1$ repeats $2$ times,the digit $2$ repeats $2$ times,and the digit $3$ repeats $2$ times.The total number of arrangements of these $6$ digits is given by the formula for permutations of a multiset:$	ext{Number of ways} = \frac{n!}{n_1! 	imes n_2! 	imes n_3!} = \frac{6!}{2! 	imes 2! 	imes 2!}$$= \frac{720}{2 	imes 2 	imes 2} = \frac{720}{8} = 90$.Thus,the total number of $6$-digit numbers that can be formed is $90$.

How many $6$-digit numbers can be formed using the digits of the number $112233$?

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