Google recently came in at number four on CNN Money's list of the 100 best companies to work for. Free gourmet Ilunches and snacks, freedom to bring pets to work, and free fitness classes are among some of the employee perks at Google. As part of the application process, each candidate must pass an entrance exam. The candidate scores on the Google entrance exam follow a normal distribution with a mean of 60 points and a standard deviation of 12 points. • A candidate who scores more than 75 points on the entrance exam is a "top performer" and is automatically asked for a phone interview. • A candidate who scores in the top 30% of the distribution is invited to take the entrance exam again within two weeks of the original exam date. • Otherwise a candidate must wait at least 1 year before attempting the exam again. Question 5 Part 1 Subquestions 5.a What proportion of candidates are automatically asked for a phone interview? 0.8944 0.84 0.68 0.16 0.1056

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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.