lve the problem. 15) d a treasurer, how mana board of directors. If they must el
ID: 2908702 • Letter: L
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lve the problem. 15) d a treasurer, how mana board of directors. If they must elect a chairperson, a secretary, possible? 16) In a lottery, players must pick 6 different numbers from 1 to 21. How many ways are there 16) to choose the 6 numbers if order is important? 17) Awards are to be presented to seven people: Jeff, Karen, Lyle, Maria, Norm, Olivia, and 17) Paul. How many different orders are possible for the awards if Karen is to receive the first award and Lyle the last? 18) 8) In a certain lottery, 6 numbers between 1 and 11 inclusive are drawn. These are the winning numbers. How many different selections are possible? Assume that the order in which the numbers are drawn is not important.Explanation / Answer
15)
number of ways to select 3 members out of 12 and arranging them in order =12P3 =12!/(12-3)!=1320
16)
ways to select 6 number out of 21 and arrange in order=21P6 =21!/(21-6)! =39070080
17)
as we need to arrange rest of 5 people in order ; number of ways =5! =5*4*3*2*1=120
18)
number of ways to select 6 number out of 11 when order is not important =11C6 =11!/(6!*(11-6)!)
=462
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