प्रत्येक का मान ज्ञात कीजिए -
(i) `""^(10)C_(8)`, (ii) `""^(4)C_(3)`, (iii) `""^(59)C_(59)`
(iv) `""^(r+1)C_(r )` , (v) `""^(30)C_(27) - ""^(29)C_(27)` , (vi) `""^(15)C_(8) + ""^(15)C_(9) - ""^(15)C_(6)- ""^(15)C_(7)`
(vii) `""^(20)C_(5)`

Explanation

(iv) `""^(r+1)C_(r) = ((r+1)!)/(r!.1!) = ((r+1)r!)/(r!)= r+1`
(v) `""^(15)C_(8) + ""^(15)C_(9) - ""^(15)C_(6) - ""^(15)C_(7)`
`:' ""^(15)C_(8)= ""^(15)C_(7)` तथा `""^(15)C_(9) = ""^(15)C_(6)`
`:. ""^(15)C_(8) + ""^(15)C_(9) - ""^(15)C_(6) - ""^(15)C_(7) = ""^(15)C_(8) +""^(15)C_(6) - ""^(15)C_(6) - ""^(15)C_(8) = 0`