17! = ....
5! = ....
17! = ....
= (17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (272 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (4.080 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (57.120 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (742.560 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (8.910.720 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (98.017.920 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (980.179.200 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (8.821.612.800 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (70.572.902.400 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (494.010.316.800 × 6 × 5 × 4 × 3 × 2 × 1)
= (2.964.061.900.800 × 5 × 4 × 3 × 2 × 1)
= (14.820.309.504.000 × 4 × 3 × 2 × 1)
= (59.281.238.016.000 × 3 × 2 × 1)
= (177.843.714.048.000 × 2 × 1)
= (355.687.428.096.000 × 1)
= 355.687.428.096.000
[tex] \\ \\ \\ [/tex]
5! =....
= (5 × 4 × 3 × 2 × 1)
= (20 × 3 × 2 × 1)
= (60 × 2 × 1)
= (120 × 1)
= 120
[tex] \\ \\ [/tex]
