1.
A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?

2.
In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?

3.
In how many ways can three consonants and two vowels be selected from the letters of the word “TRIANGLE”?

4.
A bag contains nine yellow balls, three white balls and four red balls. In how many ways can two balls be drawn from the bag?

5.
How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}

6.
How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?

7.
The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is_________?

8.
A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most__________?

9.
A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?

10.
What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?