Respuesta :
"This is an example of a combination. There are 148,995 possible arrangements of first through fourth place winners.
- If a cross country race has 45 runners competing for first through fourth place, this statement is an example of a combination.
Combination has to do with selection. Since we are to select thee first four positions from the 45 runners. To get the possible number of arrangements, we will use the combination formula;
- nCr = n!/(n-r)!r!
45C4 = 45!/(45-4)!4!
45C4 = 45!/41!4!
45C4 = 45*44*43*42*41!/41!*4!
45C4 = 45*44*43*42/4*3*2
45C4 = 3,575,880/24
45C4 = 148,995
Therefore the correct statement is that "this is an example of a combination. There are 148,995 possible arrangements of first through fourth place winners.
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