There are three rooms in a motel: one single, one double, and one for four persons. How many ways are there to house seven persons in these rooms?
7! / 1! 2! 3!
7!
7! / 3
7! / 3!
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#  Quiz 

1
Discuss

In a simultaneous throw of two dice, what is the probability of getting a total of 7?
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2
Discuss

A polygon has 44 diagonals. What is the number of its sides?
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3
Discuss

Three chairs are arranged in a row facing three other chairs. 4 boys and 2 girls are to be seated on these chairs such that girls are always facing each other. In how many ways can they be seated?
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4
Discuss

The value of ^{75}P_{2}
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5
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If ^{18}C_{r }= ^{18}C_{r+2 }; find ^{r}C_{5}.
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6
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12 person are seated at a round table. Number of ways of selecting 2 persons not adjacent to each other is
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7
Discuss

A committee of 8 members is to be selected from a group of 12 male and 10 female members. In how many ways the committee is selected such that at most two and at least one male member are there in the committee?
Solution 
8
Discuss

Six boys and 4 girls are to be seated in two separate rows with five chairs each, such that two particular girls are always together and all the girls are not in the same row. In how many ways can they be seated?
Solution 
9
Discuss

There are 20 people among whom two are sisters. Find the number of ways in which we can arrange them around a circle so that there is exactly one person between the two sisters.
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10
Discuss

If four dice are thrown together, then what is the probability that the sum of the numbers appearing on them is 25 ?
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