6. What is the minimum number of students, each of whom comes from one of the 13 states, who must be enrolled in a university to guarantee that are at least100 come from the same state.

Q: 20. An employee identification code for a hospital consists of 2 letters from the set {A, B, C, D}…

A: To  calculate the identification code if both letters and digits are repeated. The identification…

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A: After the restriction on the second digit is removed, the number of area codes, which are possible…

Q: a) There are 42 students who are to share 12 computers. Each computer is shared by at most six…

A:

Q: 6. In all the state of the union (SOTU) addresses since that of President George Washington in the…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A total of Heart patients deaths in South Carolina (in the past 90 days as of January 7, 2022) is…

A: For the State of South Carolina, it is given that: The total number of Heart patients deaths in…

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A: Given Twelve teachers are to be assigned to three schools

Q: Twelve teachers are to be assigned to three schools. In how many ways can this be done if: a…

A: Given data Twelve teachers are to be assigned to three schools.

Q: 5. Among 13 different naval bases, is it possible for each base to have direct satellite…

A: Explain

Q: 13. How many ways can five different graduation scholarships be awarded to 20 students under each of…

A: From the given information ,Number of scholarship be awarded = Total Number of students = 20…

Q: 8. Suppose Jack has 1 red ball, 1 orange ball, 1 blue ball, 1 yellow ball, 1 black ball and 1 green…

A: Given that  Jack has  Red ball = 1 Orange ball = 1 Blue ball  = 1 yellow ball = 1 black ball = 1…

Q: 11) A board of directors needs to assign a chair, vice chair, treasurer, secretary and…

A:

Q: What is the minimum number of students, each of whom comes from one of 10 provinces who must be…

A: Let number of students that enrolled = n Number of provinces = 10 Number of pigeon holes = 10 Number…

Q: (a) The US Postal Service uses 5-digit zip codes in many areas. How many such zip codes are…

A: We employ the basic rules of counting to solve this problem. Note that a 5 digit zip code will be of…