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$.
A lady gives a dinner party for six guests. The number of ways in which they may be selected from among ten friends, if two of the friends will not attend the party together is
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