How many numbers of $6$ digits can be formed from the digits of the number $112233$
$30$
$60$
$90$
$120$
(c) Required number of ways $ = \frac{{6!}}{{2\,!\,\,2!\,\,2!}} = 90$.
The number of four-letter words that can be formed with letters $a, b, c$ such that all three letters occur is
If $^{n + 1}{C_3} = 2{\,^n}{C_2},$ then $n =$
The number of ways of dividing $52$ cards amongst four players so that three players have $17$ cards each and the fourth player just one card, is
How many different words can be formed by jumbling the letters in the word $MISSISSIPPI$ in which no two $S$ are adjacent $?$
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