Brennan Flores
2020-10-28
Answered

a. In how many ways can the letters in the word CARLETON be arranged so that it contains either CA or AC as sub-words?

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Jayden-James Duffy

Answered 2020-10-29
Author has **91** answers

The word CARLETON have 8 letters. We want to arranged this word so that it contains either CA of AC as sub-words.

The letters C and A can be grouped and considered as a single letter. that is, (CA)RLETON.

Hence we can assume total letters as

Thus, the total number of arranged so that the word contains either CA or AC as sub-words are 10080.

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Suppose that A is the set of sophomores at your school and B is the set of students in discrete mathematics at your school. Express each of these sets in terms of A and B.

a) the set of sophomores taking discrete mathematics in your school

b) the set of sophomores at your school who are not taking discrete mathematics

c) the set of students at your school who either are sophomores or are taking discrete mathematics

Use these symbols:$\cap \cup$

a) the set of sophomores taking discrete mathematics in your school

b) the set of sophomores at your school who are not taking discrete mathematics

c) the set of students at your school who either are sophomores or are taking discrete mathematics

Use these symbols:

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III) there is at least one common link on Web page a and Web page b.

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b) graph theory books are next to each other but the others could be anywhere on the shelf.

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Restate each proposition in the form $p\to q$ .

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B. A sufficient condition for Katrina to take the algorithms course is that she pass discrete mathematics.

C. A necessary condition for Fernando to buy a computer is that he obtain $2000.

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C. A necessary condition for Fernando to buy a computer is that he obtain $2000.

D. When better cars are built, Toyota will build them.

E. The program is readable only if it is well structured.