Find the total number of 8 digits numbers that can be formed, all having different digits.

9 × 9! | ||

9 × 8! | ||

(9/2)× 9! | ||

(9/2) × 8! |

In a question paper, there are four multiple-choice questions. Each question has five choices with only one choice for its correct answer. What is the total number of ways in which a candidate will not get all the four answers correct?

19 | ||

120 | ||

624 | ||

1024 |

A mixed doubles tennis game is to be played between two teams (each team consists of one male and one female). There are 4 married couples. No team is to consist of a husband and his wife. What is the maximum number of games that can be played?

12 | ||

21 | ||

36 | ||

42 |

Each of 2 women and 3 men is to occupy one chair out of 8 chairs, each of which is numbered from 1 to 8. First, women are to occupy any two chairs from those numbered 1 to 4; and then the 3 men would occupy any three chairs out of the remaining 6 chairs. What is the maximum number of different ways in which this can be done?

40 | ||

132 | ||

1440 | ||

3660 |

How many numbers are there in all from 6000 to 6999 (Both 6000 and 6999 included) having at least one of their digits repeated?

216 | ||

356 | ||

496 | ||

504 |

All the six letters of the name SACHIN are arranged to form different words without repeating any letter in anyone word. The words so formed are then arranged as in a dictionary.

What will be the position of the word SACHIN in that sequence?

436 | ||

590 | ||

601 | ||

751 |

Nine different letters are to be dropped in three different letter boxes. In how many different ways can this be done?

27 | ||

3^9 | ||

9^3 | ||

3^9-3 |

In a question of a test paper, there are five items each under List-A and List-B. The examinees are required to match each item under List-A with its corresponding correct item under List-B. Further, it is given that

(i) No examinee has given the correct answer

(ii) Answers of no two examinees are identical

What is the maximum number of examinees who took this test?

24 | ||

26 | ||

119 | ||

129 |

Three dice (each having six faces with each face having one number from 1 to 6) are rolled. What is the number of possible outcomes such that at least one dice shows the number 2?

36 | ||

81 | ||

91 | ||

6 |

Groups each containing 3 boys are to be formed out of 5 boys — A, B, C, D and E such that no one group contains both C and D together. What is the maximum number of such different groups?

5 | ||

6 | ||

7 | ||

8 |