1. In how many different ways can the letters of the word KNOWLEDGE be arranged in such a way that the vowels always come together?

1. In how many different ways can the letters of the word KNOWLEDGE be arranged in such a
way that the vowels always come together?

2. A University wishes to hire 4 faculty members for its newly established department. They have
to select from a group of 8 Male and 7 Female applicants, all of whom are equally qualified to fill
in the positions. If University selects 4 at random, what is the probability that;
a) All four will be Men
b) All four will be Women
c) Atleast one will be a Women
d) Atleast one will be a Men.

3. The probability is 0.3 that an applicant for a Management Accountant’s job has a post graduate
degree, 0.7 that he has had some work experience as a chief Financial Accountant, and 0.2
that he has both. Out of 300 applicants, approximately, what number would have either a post
graduate degree or some professional work experience?

4. A jar contains 3 red. 5 green, 2 blue and 6 yellow marbles. A marble is chosen at random from
the jar. After replacing it, a second marble is chosen. What is the probability of choosing a
green and then yellow marble?

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