Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Permutations and Combinations

Short Answer Type

21. How many numbers are there between 100 and 1000 so that every digit in the number is either 2 or 5?

109 Views

22. How many 3-digit numbers can be formed without using the digits 1, 5, 6, 9 when repetition of digits is (i) allowed (ii) not allowed?

119 Views

23. How many numbers are there between 100 and 1000 such that 3 is at the unit place when repetition of digits is allowed?

100 Views

24. A man wants to select a shirt and a trouser from a shop. If there are 25 shirts and 40 trousers in varieties. In how many ways can he choose one shirt and one trouser?

121 Views

25. In a set of 8 true or false questions, no student has written all correct answers and no two students have given the same sequence of answers. What is the maximum number of students in the class, for this to be possible?

Solution not provided.

Ans. $space space 2 to the power of 8 minus 1 space equals space 256 space minus space 1 space equals space 255$

103 Views

26. A team consists of 8 boys and 3 girls and other has 6 boys and 4 girls. How many single matches can be arranged between two teams, when a boy plays against a boy and a girl plays against a girl?

123 Views

27. Each section in class XI of school has exactly 35 students. If there are 4 sections, in how many ways can a student representative be selected from each section?

127 Views

28.

Evaluate:

8!

117 Views

29.

Evaluate:

4! - 3!

97 Views

30. Is 3! + 4! = 7!

98 Views