Question

求值：1!+2!+3！+4！+5！+6！+7！+8！+9！+10！

求值：1!+2!+3！+4！+5！+6！+7！+8！+9！+10！

Answer 1

解：1！=1
2！=2x1=2
3！=2！×3=2×3=6
4！=3！×4=6×4=24
5！=4！×5=24×5=120
6！=5！×6=120×6=720
7！=6！×7=720×7=5040
8！=7！×8=5040×8=40320
9！=8！×9=40320×9=362880
10！=9！×10=362880×10=3628800
1！+2！+3！+……+10！
=1+2+6+24+120+720+5040+40320+362880+3628800
=4037913

Answer 2

1! = 1
2! = 2 × 1 = 2
3! = 3 × 2 × 1 = 6
4! = 4 × 3 × 2 × 1 = 24
5! = 5 × 4 × 3 × 2 × 1 = 120
6! = 6 × 5 × 4 × 3 × 2 × 1 = 720
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040
8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320
9! = 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 362880
10! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 3628800
因此，1!+2!+3！+4！+5！+6！+7！+8！+9！+10！
= 1 + 2 + 6 + 24 + 120 + 720 + 5040 + 40320 + 362880 + 3628800
= 3648945。