After the independence of Pakistan in 1947, the first census took place in 1951(i.e. 4 years after the independence). Since 1951, there have been 6 nationwide censuses (1961, 1972, 1981, 1998 and 2017). The following table represents the total population counts resulted in each censuses; Year 1951 1961 1972 1981 1998 2017 Years after Independence 4 14 25 34 41 60 Population ( in millions) 75 93 65.3 83.783 132.352 207.774 Table 1 Using Direct Interpolation method for 2™d Degree, interpolate the aforementioned census data
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.
QUESTION 1
NUMERIC COMPUTING, PLEASE SEE IMAGE TO ANSWER
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