In a hotel , four rooms are available , Six persons are to be accommodated in these four rooms in such a way that each of these rooms contains at least one person and at most two persons . Then the number of all possible ways in which this can be done is ______

45 In a hotel four rooms available. Six persons are to be accommodated in these four rooms in such a way that each of these rooms contains at least one person and at most two persons. Then the number of all possible ways in which this can be done is 'P'. Then sum of digits of 'P' is equal to

Find the number of ways in which four persons can sit on six chairs.

Six X have to be placed in the squares of figure such that each row contains at least one X. The number of ways in which this can be done is:

Six X have to be placed in the squares of Fig. 6.6 such that each row contain at least one X. The number of ways in which this can be done is

Six X have to be placed in the squares of figure such that each row contains at least one X. The number of ways in which this can be done is:

$5$ different objects are to be distributed among $3$ persons such that no two persons get the same number of objects. Number of ways this can be done is,

Four persons entered the lift cabin on the ground floor of a six floor office . if the 4 persons can leave the cabin at any one of the 5 floors , then find the number of ways in which this can be done

Eight people enter an elevator. At each of four floors atleast one person leaves the elevator after which elevator is empty. The number of ways in which this is possible is :

In a three-storey building, there are four rooms on the ground floor, two on the first and two on the second floor. If the rooms are to be allotted to six persons, one person occupying one room only, the number of ways in which this can be done so that no floor remains empty is a. ${}^8{P}_6-2(6!)$ b. ${}^8{P}_6$ c. ${}^8{P}_5(6!)$ d. none of these

There are eight rooms on the first floor of a hotel, with four rooms on each side of the corridor, symmetrical situated (that is each room is exactly opposite to one other room). Four guests have to be accommodation In four of the eight rooms (that is, one in each) such that no two guests are in adjacent rooms or in opposite rooms. If N is the number of ways in which guests can be accommodated. Then the value of $\frac{N}{6}$ is