Tolong jelaskan poin no viii?

Menjawab:

Silakan lihat penjelasan di bawah ini

Penjelasan:

# "^ nC_r = ((n), (r)) = (n!) / (r! (n-r)!) #

Istilah pertama adalah

# S_1 = "^ rC_r = (r!) / (R! (R-r)!) = 1 #

# S_1 = ((1 + 1)!) / ((1 + 1)! (1-1)!) = 1 #

Pertama ditambah istilah kedua adalah

# S_1 + S_2 = "" ^ rC_r + "^ (r + 1) C_r = 1 + ((r + 1)!) / (R! (R + 1-r)!) = R + 1 + 1 = r + 2 #

# S_2 = ((r + 1 + 1)!) / ((R + 1)! (R + 1-r)!) = ((R + 2)!) / ((R + 1)! (1!)) = r + 2 #

Jadi hasilnya diverifikasi.

# "^ (n + 1) C_ (r + 1) = ((n + 1)!) / ((r + 1)! (n + 1-r-1)!) = ((n +1)!) / ((r + 1)! (nr)!) #