A translation service has 40 employees, of whom 27 speak French,11 speak Spanish, and 7 speak Hindi. Of the Spanish-speaking emplyees,5 speak Hindi and 6 speak French. Three of the French-speaking employees also speak Hindi. Two employees speak all three languages. Illustrate this solution using a Venn Diagram. How many employees speak French or Hindi? How many employees speak none of these languages?
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
A translation service has 40 employees, of whom 27 speak French,11 speak Spanish, and 7 speak Hindi. Of the Spanish-speaking emplyees,5 speak Hindi and 6 speak French. Three of the French-speaking employees also speak Hindi. Two employees speak all three languages.
- Illustrate this solution using a Venn Diagram.
- How many employees speak French or Hindi?
- How many employees speak none of these languages?
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