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Question 1 of 25
1. Question
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

Question 2 of 25
2. Question
In how many different ways can the letters of the word ‘LEADING’ be arranged in such a way that the vowels always come together?

Question 3 of 25
3. Question
In how many different ways can the letters of the word ‘CORPORATION’ be arranged so that the vowels always come together?

Question 4 of 25
4. Question
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

Question 5 of 25
5. Question
In how many ways can the letters of the word ‘LEADER’ be arranged?

Question 6 of 25
6. Question
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

Question 7 of 25
7. Question
How many 3digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

Question 8 of 25
8. Question
In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

Question 9 of 25
9. Question
A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

Question 10 of 25
10. Question
In how many different ways can the letters of the word ‘DETAIL’ be arranged in such a way that the vowels occupy only the odd positions?

Question 11 of 25
11. Question
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?

Question 12 of 25
12. Question
How many 4letter words with or without meaning, can be formed out of the letters of the word, ‘LOGARITHMS’, if repetition of letters is not allowed?

Question 13 of 25
13. Question
In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged so that the vowels always come together?

Question 14 of 25
14. Question
In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that the vowels always come together?

Question 15 of 25
15. Question
There are 23 stations between Delhi and Chennai. How many first class tickets have to be printed, so that a passenger can travel from any station to any other station?

Question 16 of 25
16. Question
A number lock consists of three rings each marked with seven different numbers. The number of distinct unsuccessful attempts to open the lock is at the most________.

Question 17 of 25
17. Question
How many four digit numbers can be formed using the digits {4, 5, 6, 8, 7, 9}? (repetition of digits is not allowed)

Question 18 of 25
18. Question
How many four digit even numbers can be formed using the digits {6, 1, 3, 5, 7, 9} (repetition of digits is not allowed)?

Question 19 of 25
19. Question
In how many ways can three consonants and two vowels be selected from the letters of the word “FASHION”?

Question 20 of 25
20. Question
In a class there are 30 boys and 35 girls. In how many ways can a boy and a girl be selected?

Question 21 of 25
21. Question
In how many ways can a committee consisting of five men and six women be formed from a group of eight men and nine women?

Question 22 of 25
22. Question
A paper consists of six questions, each question having four internal choices. In how many ways can a candidate attempt one or more questions?

Question 23 of 25
23. Question
Eight points are marked on a straight line and Nine points are marked on another line which is parallel to the first line. How many straight lines, including the first
two, can be formed with those points? 
Question 24 of 25
24. Question
In how many ways can six boys and five girls sit in a row such that all boys sit together?

Question 25 of 25
25. Question
A team of 4 members has to be formed from 4 women and 6 men. In how many ways the team can be formed, if 1 particular woman is always included in the team?
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