Mathematics
Senior High
Solved
2行目から3行目になる過程がわかりません。詳しい計算を教えてください。
(ii) n-1Cr-1+n-1Cr
(n-1)!
=
(n-1)!
+
(r-1)!(n-r)! r!(n−r−1)!
(n-1){r+(n-r)} _ (n-1)!n
r!(n-r)!
=
.. nCr=n-1Cr-1+n-1Cr
=
n!
r!(n−r)! ¯¯r!(n− r)!= nCr
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ありがとうございます!!