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 teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included in a particular student?
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2
Discuss

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
Solution 
3
Discuss

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least three men are in the committee. In how many ways can it be done?
Solution 
4
Discuss

A, B, C, D and E sit on five chairs all of which are facing north. C will sit only on the leftmost chair and B will not sit anywhere to the left of A. In how many ways they can be seated?
Solution 
5
Discuss

If four dice are thrown together, then what is the probability that the sum of the numbers appearing on them is 25 ?
Solution 
6
Discuss

How many natural numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?
Solution 
7
Discuss

In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together
Solution 
8
Discuss

Two variants of the CAT paper are to be given to 12 students. In how many ways can the students be placed in two rows of six each so that there should be no identical variants side by side and that the students sitting one behind the other should have the same variant. Find the number of ways this can be done
Solution 
9
Discuss

How many words, with or without meaning, can be formed using all letters of the word EQUATION using each letter exactly once?
Solution 
10
Discuss

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