1)How many flags can we make with 7 stripes, if we have 2 white, 2 red and 3 green stripes?
2)How many words can be made by rearranging aabbccdd, such that
no ’a’ appears somewhere to the right of some ’c’?
3)Count the number of non-negative integer solutions to
3a + 3b + 3c + 7d = 24
4) 9 different exam questions are to be distributed among three
students, such that each student receives at least one question.
However, two of the questions are very easy and must be given to
different students. In how many ways can this be done?
5)How many straight lines can be formed by n points of which 3 are collinear?
6)How many students are appearing in mathfreaks IMC if 4 digit roll number are assigned to them such that the 1st digit cannot be 0 or odd , and 4 students are left out.
7) In how many you arrange all the mathematics book in a book shelf if there are 54 books 3 rows , each book has same thickness but are distinct each column can accommodate same number of books?
8)Two couples attending a dance are wearing masks and are lost among the 34 other couples, such that only three couples are lost(interchanged).
In how many ways this can happen?
9)Out of 2 Women and 5 Men, a committee of 3 is to be formed. In how many ways this can happen?
10)How many ways can you choose 5 groups of 5 people from 25 people,assuming the groups are distinct?
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