Question

In how many ways can 10 horses be arranged in a merry-go-round?​

Answer 1

Answer:

120 possible combinations

Step-by-step explanation:

sets:

{1,2,3} {1,2,4} {1,2,5} {1,2,6} {1,2,7} {1,2,8} {1,2,9} {1,2,10} {1,3,4} {1,3,5} {1,3,6} {1,3,7} {1,3,8} {1,3,9} {1,3,10} {1,4,5} {1,4,6} {1,4,7} {1,4,8} {1,4,9} {1,4,10} {1,5,6} {1,5,7} {1,5,8} {1,5,9} {1,5,10} {1,6,7} {1,6,8} {1,6,9} {1,6,10} {1,7,8} {1,7,9} {1,7,10} {1,8,9} {1,8,10} {1,9,10} {2,3,4} {2,3,5} {2,3,6} {2,3,7} {2,3,8} {2,3,9} {2,3,10} {2,4,5} {2,4,6} {2,4,7} {2,4,8} {2,4,9} {2,4,10} {2,5,6} {2,5,7} {2,5,8} {2,5,9} {2,5,10} {2,6,7} {2,6,8} {2,6,9} {2,6,10} {2,7,8} {2,7,9} {2,7,10} {2,8,9} {2,8,10} {2,9,10} {3,4,5} {3,4,6} {3,4,7} {3,4,8} {3,4,9} {3,4,10} {3,5,6} {3,5,7} {3,5,8} {3,5,9} {3,5,10} {3,6,7} {3,6,8} {3,6,9} {3,6,10} {3,7,8} {3,7,9} {3,7,10} {3,8,9} {3,8,10} {3,9,10} {4,5,6} {4,5,7} {4,5,8} {4,5,9} {4,5,10} {4,6,7} {4,6,8} {4,6,9} {4,6,10} {4,7,8} {4,7,9} {4,7,10} {4,8,9} {4,8,10} {4,9,10} {5,6,7} {5,6,8} {5,6,9} {5,6,10} {5,7,8} {5,7,9} {5,7,10} {5,8,9} {5,8,10} {5,9,10} {6,7,8} {6,7,9} {6,7,10} {6,8,9} {6,8,10} {6,9,10} {7,8,9} {7,8,10} {7,9,10} {8,9,10}