निम्नलिखित के मान ज्ञात कीजिए -
(i) `""^(12)C_(4)`, (ii) `""^(15)C_(12)`, (iii) `""^(49)C_(49)`

Explanation

(i) `""^(12)C_(4) = (12!)/(4!(12-4)!)`
`= (12!)/(4!8!) = (12 xx 11 xx 10 xx 9 xx 8!)/(4! xx 8!)`
`= (12 xx 11 xx 10 xx 9)/(4 xx 3 xx 2 xx 1) = 495`
(ii) `"^(15)C_(12) = (15!)/(12!(15-12)!) = (15!)/(12! xx 3!)`
`= (15 xx 14 xx 13 xx 12!)/(12! xx 3 xx 2) = 455`
(iii) `""^(19)C_(49) = 1 " "( :' ""^(n)C_(n) = 1)`