There are $9$ chairs in a room on which $6$ persons are to be seated, out of which one is guest with one specific chair. In how many ways they can sit
$6720$
$60480$
$30$
$346$
The number of ways in which five identical balls can be distributed among ten identical boxes such that no box contains more than one ball, is
How many numbers greater than $1000000$ can be formed by using the digits $1,2,0,2,4,2,4 ?$
The number of ways in which any four letters can be selected from the word ‘$CORGOO$’ is
From a class of $25$ students, $10$ are to be chosen for an excursion party. There are $3$ students who decide that either all of them will join or none of them will join. In how many ways can the excursion party be chosen?
$^{47}{C_4} + \mathop \sum \limits_{r = 1}^5 {}^{52 - r}{C_3} = $