# Act 6

**Topics:**Board of directors, Corporate governance, Harshad number

**Pages:**5 (489 words)

**Published:**January 24, 2015

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QUESTION 1

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In how many ways can we select a group of 2 men and 3 women out of 3 men and 4 women respectively? Select one:

a. 12 ways

b. 14 ways

c. 10 ways

d. 7 ways

QUESTION 2

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If 5 coins are tossed, in how many ways can it happen that 3 coins fall tails? Select one:

a. 6 ways

b. 10 ways

c. 4 ways

d. 12 ways

QUESTION 3

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How many combinations can the seven colors of the rainbow be arranged into groups of three colors each? Select one:

a. 35

b. 40

c. 45

d. 30

QUESTION 4

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A group of seven mountain climbers wishes to form a mountain-climbing team of five. How many different teams could be formed? Select one:

a. 24 teams

b. 18 teams

c. 30 teams

d. 21 teams

QUESTION 5

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John has got 1 dollar, with which he can buy green, red and yellow candies. Each candy costs 50 cents. John will spend all the money he has on candies. How many different combinations of green, red and yellow candies can he buy? Select one:

a. 5 combinations

b. 4 combinations

c. 8 combinations

d. 6 combinations

QUESTION 6

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The board of directors of a corporation comprises 10 members. An executive board, formed by 4 directors, needs to be elected. How many possible ways are there to form the executive board? Select one:

a. 210 ways

b. 201 ways

c. 102 ways

d. 120 ways

QUESTION 7

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There are six different objects. How many combinations of the objects can be taken two at a time? Select one:

a. 14 combinations

b. 15 combinations

c. 10 combinations

d. 12 combinations

QUESTION 8

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3 cards are drawn from a standard deck of 52 cards. How many different 3-card hands can possibly be drawn? Select one:

a. 10022

b. 22100

c. 12200

d. 21200

QUESTION 9

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10 people echange greetings at a business meeting. How many greetings are exchanged if everyone greets each other once? Select one:

a. 50 greetings

b. 35 greetings

c. 45 greetings

d. 40 greetings

QUESTION 10

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If n = 8 and r = 4, find nCr.

Select one:

a. 68

b. 60

c. 70

d. 64

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