Jika "" ((n), (k)) = ((n!), (K! (Nk)!) "" Menunjukkan bahawa "" ((n), (k)) = ((n) nk)) ...?

Jika "" ((n), (k)) = ((n!), (K! (Nk)!) "" Menunjukkan bahawa "" ((n), (k)) = ((n) nk)) ...?
Anonim

Jawapan:

# "Lihat penjelasan" #

Penjelasan:

# "Ini tidak penting." #

# ((n), (k)) = ((n!), (k! (n-k)!)) "(kombinasi definisi)" #

# => warna (merah) ((n), (n-k))) = ((n!), ((n-k)! (n- (n-k)

# = ((n!), ((n-k)! k!) "" (n- (n-k) = n-n + k = 0 + k =

# = ((n!), (k! (n-k)!)) "(commutativity of multiplication)" #

# = warna (merah) (((n), (k))) "(kombinasi takrifan)" #