The number of ways in which the digits of the number 125453752 can be rearranged such that no two 5's come together is
(A)`(9!)/(3!2!)`
(B) `(7!)/(3!2!)`
(C) `(.^7C_3⋅6!)/(2!)`
(D) none of these

By what number 4 3/5 be multiplied to get 2 3/7? (a) (391)/(35) (b) (85)/(91) (c) (91)/(85) (d) None of these

The number of even divisor of the number N=12600=2^3 3^2 5^2 7 is a. 72 b. 54 c. 18 d. none of these

Find the number of divisors of the number N=2^3 .3^5 .5^7 .7^9 which are perfect squares.

Find the number of divisors of the number N=2^3 .3^5 .5^7 .7^9 which are perfect squares.

A rational number equal to (-2)/3 is (a) (-10)/(25) (b) (10)/(-15) (c) (-9)/6 (d) None of these

A library has a copies of one book, b copies each of two books, c copies each of three books, a single copy of d books. The total number of ways in which these books can be arranged in a shelf is equal to a. ((a+2b+3c+d)!)/(a !(b !)^2(c !)^3) b. ((a+2b+3c+d)!)/(a !(2b !)^(c !)^3) c. ((a+b+3c+d)!)/((c !)^3) d. ((a+2b+3c+d)!)/(a !(2b !)^(c !)^)

A library has a copies of one book, b copies each of two books, c copies each of three books, a single copy of d books. The total number of ways in which these books can be arranged in a shelf is equal to a. ((a+2b+3c+d)!)/(a !(b !)^2(c !)^3) b. ((a+2b+3c+d)!)/(a !(2b !)^(c !)^3) c. ((a+b+3c+d)!)/((c !)^3) d. ((a+2b+3c+d)!)/(a !(2b !)^(c !)^)

If projections of as line on x,y and z axes are 6,2 and 3 respectively, then directions cosines of the lines are (A) (6/2,2/7,3/7) (B) (3/5,5/7,6/7) (C) (1/7,2/7,3/7) (D) none of these

The total number of ways in which 2n persons can be divided into n couples is a. (2n !)/(n ! n !) b. (2n !)/((2!)^3) c. (2n !)/(n !(2!)^n) d. none of these

( 1+3+5+7+9+11 )^ (3/2) = (a)36 (b) 216 (c)256 (d) none of these