A survey of 400 people shows that 102 people like red, 100- blue, 100 -green, 56- orange , 48 yellow and 40 violet. 30 like both red and blue , 37 - red and green , 39 - blue and green, 20 -orange and yellow, 18 - orange and violet and 22 - yellow and violet. However 90 of them like none. IN addition number of people who like (red and blue and green) is 5 times those who like (yellow and orange and violet). a) Represent in a venn diagram B) Find people who like one colour
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 survey of 400 people shows that 102 people like red, 100- blue, 100 -green, 56- orange , 48 yellow and 40 violet. 30 like both red and blue , 37 - red and green , 39 - blue and green, 20 -orange and yellow, 18 - orange and violet and 22 - yellow and violet. However 90 of them like none. IN addition number of people who like (red and blue and green) is 5 times those who like (yellow and orange and violet).
a) Represent in a venn diagram
B) Find people who like one colour
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