a) Write down the missing terms in the following sequence: 13, 17, 21, 29, 37, - b) She continues this sequence. What will the number written in the 30th term be? c) The 2nd term, 17, and the 7th term, 37, of this number sequence both end with the number 7. Which is the next term in the sequence that will end with the number 7 and what is its value? d) Is the number 1572 a term in this sequence? Explain why.
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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