The executive of an organization is to be selected from a group of 9 males and 8

Question

The executive of an organization is to be selected from a group of 9 males and 8 females a) How many ways are there to choose the president and secretary? O 36 O 272 72 O 136 Submit Answer Tries 0/2 b) How many ways are there to have a female president and a male secretary? O 136 272 O 72 O 36 Submit Answer Tries 0/2 c) What is the probability that a randomly chosen president is female and a randomly chosen secretary is male? 0.13 O 0.5 0.52 0.26 Submit Answer Tries 0/2 d) How may ways are there to choose a president, secretary and treasurer? 680 O 648 O 576 O 4080 Submit Answer Tries 0/2 e) How many ways are there to choose a president, secretary and treasurer so that two are male and one is female? 1728 864 576 O 288 Submit Answer Tries 0/2 f) What is the probability that a randomly chosen president, secretary and treasurer include two males and one female? O 0.21 0.14 O 0.07 0.42 Submit Answer Tries 0/2

Explanation / Answer

(a) Correct option: 272

EXPLANATION: President can be chosen in 17 ways. After President is chosen, Secretary can be chosen in 16 ways. So, President & Secretary can be chosen in 17 X 16 = 272 ways.

(b) Correct option: 72

EXPLANATION: Female president can be chosen in 8 ways. Male Secretary can be chosen in 9 ways. So, Female President & <ale Secretary can be chosen in 8 X 9 = 72 ways.

(c) Correct option: 0.13

EXPLANATION : P(President Female) = 1/8. P(Secretary Male) = 1/9. So, P(President Female & Secretary Male) = 1/(9X8) = 0.13.

(d) Correct option: 4080.

President can be chosen in 17 ways. Secretary can be chosen in 16 ways. Treasurer can be chosen in 15 ways. So, President, Secretary & Treasurer can be chosen in 17 X 16 X 15 = 4080 ways.

FIRST FOUR QUESTIONS ARE ANSWERED AS PER DIRECTIONS FOR ANSWERING.

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