Permutation and Combination Test Online MCQs

1. In a class of 10 students there are 3 girls A, B and C. In how many different ways can they be arranged in a row such that number two of the three girls are consecutive?

2. How many words can be formed by taking 4 letters at a time out of the letters of the word CONDITION?

3. How many different words can be formed from the word DAUGHTER so that ending and beginning letters are constant?

4. The number of odd integers between 1000 and 9999 with no digit repeated is :

5. The number of numbers that can be formed with the digits 1, 2, 3, 4, 3, 2, 1 so that the odd digits always occupy odd places is

6. To fill 12 vacancies there are 25 candidates of which 5 are from scheduled castes. If 3 of the vacancies are reserved for scheduled caste candidates while the rest are open to all, the number of ways in which the selection can be made is

7. A question paper is divided into two parts A and B. Each part contains 5 questions. The number of ways in which a candidate can answer 6 questions selecting atleast two questions from each part is:

8. A student is allowed to select at the most n books from a collection of (2n + 1) books. If the total number of ways in which he can select a book is 63, then the value of n is

9. Five balls of different colours are to be placed in three boxes of different size. Each box can hold all five balls. In how many different ways can the balls be placed so that no box remains empty?

10. How many words can be formed out of the word LADIES so that the vowels are never together?

11. 25 points, no 3 collinear, are given in a plane. How many triangles do they determines?

12. A polygon has 44 diagonals, then the number of its sides is:

13. If n₁, n₂,......... n_p are p positive integers, whose sum is an even number of odd integers among them is

14. The total number of 3-digit number that can be composed from the digits 1, 2, 3, ......, 9, when the repetition of digit is not allowed, is

15. Given five different green dyes, four different blue dyes, the number of combinations that can be chosen, taking at least one green and one blue dye are