Question 955412
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No of women = 8
No of men   = 11
Total members =19
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1-   No of ways selecting 1 woman for female president out of 8 = 8C1 = 8
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2- because one man Pete can not be a treasurer hence the treasurer will be select from remaining 10, i.e.-
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 No of ways selecting 1 treasurer out of 10 = 10C1 = 10.
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3- Pete can be a secretary. because none can hold more then one office therefore selection will be done by choosing 1 person out of 7 women and 10 men i.e.-
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No of ways selecting 1 person out of 17 = 17C1 = 17

Total no of ways= 8*10*17 = 1380 .. .. ANS