Compute `(12!)/(10!2!)`

Compute (8!)/(6! xx 2!)

Compute : (7!)/(5!)

Compute (3m -2n) ^(3)

If A=[(1,2,-3),(5,0,2),(1,-1,1)] , B=[(3,-1,2),(4,2,5),(2,0,3)] and C=[(4,1,2),(0,3,2),(1,-2,3)] thern compute (A+B) and (B-C). Also verify A+(B-C)=(A+B)-C.

Find the product: (-12) xx (-11) xx (10)

If A=[(1,2,-3),(5,0,2),(1,-1,1)],B=[(3,-1,2),(4,2,5),(2,0,3)]andC=[(4,1,2),(0,3,2),(1,-2,3)] then compute (A + B) and (B - C). Also verify that A + (B - C) = (A + B) - C.

Find the sum of the following Aps: (i) 2, 7, 12, …….., to 10 terms. (ii) -37, -33, -29, …….., to 12 terms. (iii) 0.6, 1.7, 2.8,….., to 100 terms (iv) (1)/(15), (1)/(12),(1)/(10) ,……,to 11 terms

A computer producing factory has only two plants T_(1) and T_(2). Plant T_(1) produces 20% and plant T_(2) produces 80% of the total computers produced in the factory turn out to be defective. It is known that P (computer turns out to be defective givent that it is produced in plant T_(1)) = 10 P ( computer turns out to be defective given that it is produced in plant T_(2)), where P (E) denotes the probability of an event E. A computer produced in the factory is randomly selected and it does not turn out to be defective. Then the probability that it is produced in plant T_(2) is

Compute the typical de Broglie wavelength of an electron in a metal at 27^(@)C and compare it with the mean separation between two electrons in a metal which is given to be about 2 xx 10^(-10) m.