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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1
Discuss

A polygon has 44 diagonals. What is the number of its sides?
Solution 
2
Discuss

If ,, are probabilities of three mutually exclusive events, then
SolutionAnswer :1/2 
3
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 
4
Discuss

From among the 36 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
Solution 
5
Discuss

A, B, C, and D are four points, any three of which are noncollinear. Then, the number of ways to construct three lines each joining a pair of points so that the lines do not form a triangle is
Solution 
6
Discuss

A speaks truth in 75% cases and B in 80% of the cases. In what percentage of the cases are they likely to contradict each other, narrating the same incident?
Solution 
7
Discuss

A fair coin is tossed 5 times. What is the probability of getting at least three heads on consecutive tosses?
Solution 
8
Discuss

Four letters are selected from the word “CAPAME” and are rearranged to form four letter words. How many words can be formed?
Solution 
9
Discuss

Ten participants are participating in a competition. In how many ways can the first three prizes be won?
Solution 
10
Discuss

Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
Solution 
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