Q63. There are 5 points $P _ { 1 } , P _ { 2 } , P _ { 3 } , P _ { 4 } , P _ { 5 }$ on the side $A B$, excluding $A$ and $B$, of a triangle $A B C$. Similarly there are 6 points $\mathrm { P } _ { 6 } , \mathrm { P } _ { 7 } , \ldots , \mathrm { P } _ { 11 }$ on the side BC and 7 points $\mathrm { P } _ { 12 } , \mathrm { P } _ { 13 } , \ldots , \mathrm { P } _ { 18 }$ on the side $C A$ of the triangle. The number of triangles, that can be formed using the points $\mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } , \ldots , \mathrm { P } _ { 18 }$ as vertices, is : (1) 776 (2) 796 (3) 751 (4) 771
Q63. There are 5 points $P _ { 1 } , P _ { 2 } , P _ { 3 } , P _ { 4 } , P _ { 5 }$ on the side $A B$, excluding $A$ and $B$, of a triangle $A B C$. Similarly there are 6 points $\mathrm { P } _ { 6 } , \mathrm { P } _ { 7 } , \ldots , \mathrm { P } _ { 11 }$ on the side BC and 7 points $\mathrm { P } _ { 12 } , \mathrm { P } _ { 13 } , \ldots , \mathrm { P } _ { 18 }$ on the side $C A$ of the triangle. The number of triangles, that can be formed using the points $\mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } , \ldots , \mathrm { P } _ { 18 }$ as vertices, is :\\
(1) 776\\
(2) 796\\
(3) 751\\
(4) 771