INDEPENDENTASESSMENT 1 Two cards are drawn from a deck. How many possible values can each of the following variables take? 1. Sum of the numbers on the cards. 2. Number of times both cards are black. 3. Number of times both cards are 7s. 4. Number of times the first card is six and the second card is red. 5. Number of times the first card is face card and the second card is not a face card.
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.
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