Question

QB1. (6 marks) Multiple choice question. Select one answer for each question. Q1(i). Find the number of words, with or without meaning, that can be formed with the letters of the following word ?HONGKONG?. (1 mark) A. 5020 B. 5030 C. 5040 D. 5050 Q1(ii). In a class, there are 16 students. Each student needs to shake hands with one another. How many handshakes are in the class? (1 mark) A. 120 B. 150 C. 180 D. 60 Q1(iii). Assume the set I = {1,2,3,4,5}. A and B are two non-empty subsets of I. It is required that the minimal element in B should be larger than the maximal element in A. Find the number of ways to form A and B. (2 marks) A. 50 B. 49 C. 48 D. 47 Q1(iv). You need to randomly pick several distinct positive integers chosen between 1 and 1000, inclusively. To ensure that at least two integers have a difference that is a multiple of 7, how many integers are needed? (2 marks) A. 127 B. 45 C. 19 D. 8

          QB1. (6 marks)
Multiple choice question. Select one answer for each question.

Q1(i). Find the number of words, with or without meaning, that can be formed with the letters of the following word ?HONGKONG?. (1 mark)
A. 5020 B. 5030 C. 5040 D. 5050

Q1(ii). In a class, there are 16 students. Each student needs to shake hands with one another. How many handshakes are in the class? (1 mark)
A. 120 B. 150 C. 180 D. 60

Q1(iii). Assume the set I = {1,2,3,4,5}. A and B are two non-empty subsets of I. It is required that the minimal element in B should be larger than the maximal element in A. Find the number of ways to form A and B. (2 marks)
A. 50 B. 49 C. 48 D. 47

Q1(iv). You need to randomly pick several distinct positive integers chosen between 1 and 1000, inclusively. To ensure that at least two integers have a difference that is a multiple of 7, how many integers are needed? (2 marks)
A. 127 B. 45 C. 19 D. 8

QB1. (6 marks)
Multiple choice question. Select one answer for each question.

Q1(i). Find the number of words, with or without meaning, that can be formed with the letters of the following word ?HONGKONG?. (1 mark)
A. 5020 B. 5030 C. 5040 D. 5050

Q1(ii). In a class, there are 16 students. Each student needs to shake hands with one another. How many handshakes are in the class? (1 mark)
A. 120 B. 150 C. 180 D. 60

Q1(iii). Assume the set I = 1,2,3,4,5. A and B are two non-empty subsets of I. It is required that the minimal element in B should be larger than the maximal element in A. Find the number of ways to form A and B. (2 marks)
A. 50 B. 49 C. 48 D. 47

Q1(iv). You need to randomly pick several distinct positive integers chosen between 1 and 1000, inclusively. To ensure that at least two integers have a difference that is a multiple of 7, how many integers are needed? (2 marks)
A. 127 B. 45 C. 19 D. 8

Added by Johnathan L.

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