survey of 100 students at New England College showed the following: 47 take English. 49 take history. 37 take language. 14 take English and history. 16 take English and language. 17 take history and language. 6 take all three. How many students do the following? (See Example 6. For each answer, enter an exact number.) (a) Take history but neither of the other two? students (b) Take English and history but not language? students (c) Take none of the three? students (d) Take just one of the three? students (e) Take exactly two of the three? students (f) Do not take language? students
survey of 100 students at New England College showed the following: 47 take English. 49 take history. 37 take language. 14 take English and history. 16 take English and language. 17 take history and language. 6 take all three. How many students do the following? (See Example 6. For each answer, enter an exact number.) (a) Take history but neither of the other two? students (b) Take English and history but not language? students (c) Take none of the three? students (d) Take just one of the three? students (e) Take exactly two of the three? students (f) Do not take language? students
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 8ECP: In how many different ways can two letters be chosen from the letters A, B, C, D, E, F, and G? (The...
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A survey of 100 students at New England College showed the following:
- 47 take English.
- 49 take history.
- 37 take language.
- 14 take English and history.
- 16 take English and language.
- 17 take history and language.
- 6 take all three.
How many students do the following? (See Example 6. For each answer, enter an exact number.)
(a)
Take history but neither of the other two?
students
students
(b)
Take English and history but not language?
students
students
(c)
Take none of the three?
students
students
(d)
Take just one of the three?
students
students
(e)
Take exactly two of the three?
students
students
(f)
Do not take language?
students
students
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