If the 11 letters `A,B,..... K` denote an arbitrary permutation of the integers `(1,2.....11),` then `(A-1)(B-2)(C-3).....(K-11)` will be

If the 11 letters A, B, ..., K denote an arbitrary permutation of he integers (1,2,ddot,11), then (A-1)(B-2)(C-3)...(K-11) will be a. necessarily zero b. always odd c. always even d. none of these

If the 11 letters A, B, ..., K denote an arbitrary permutation of he integers (1,2,ddot,11), then (A-1)(B-2)(C-3)...(K-11) will be a. necessarily zero b. always odd c. always even d. none of these

If the 11 letters A, B, ..., K denote an arbitrary permutation of he integers (1,2,ddot,11), then (A-1)(B-2)(C-3)...(K-11) will be a. necessarily zero b. always odd c. always even d. none of these

If the 11 letters A, B, ..., K denote an arbitrary permutation of he integers (1,2,ddot,11), then (A-1)(B-2)(C-3)...(K-11) will be a. necessarily zero b. always odd c. always even d. none of these

If (1,1, a) is the centroid of the triangle formed by the points (1,2,-3),(b,0,1)&(-1,1,-4) ,then b-a=

If (1,1,a) is the centroid of the triangle formed by the points (1,2,-3),(b,0,1) and (-1,1,-4) then a-b=

If a denotes the number of permutations of (x+2) things taken all at a time, b the number of permutations of x things taken 11 at a time and c the number of permutations of x-11 things taken all at a time such that a=182b c , find the value of xdot a) 10 b) 12 c) 15 d) 18

If a denotes the number of permutations of (x+2) things taken all at a time, b the number of permutations of x things taken 11 at a time and c the number of permutations of x-11 things taken all at a time such that a=182b c , find the value of xdot

If a denotes the number of permutations of (x+2) things taken all at a time, b the number of permutations of x things taken 11 at a time and c the number of permutations of x-11 things taken all at a time such that a=182b c , find the value of xdot

If A (11,7) , B (-1, k ) and C (5, -1) are the vertices of DeltaABC and m angleACB =pi/2 then what is k ?