The number of ways of arranging the letters `AAAAA ,B B B , CCC ,D ,EE&F` in a row if the letter `C` are separated from one another is: `^13 C_3dot(12 !)/(5!3!2!)` b. `(13 !)/(5!3!3!2!)` c. `(14 !)/(3!3!2!)` d. `(15 !)/(5!(3!)^2 2!)-(13 !)/(5!3!^2!)-(15 !)/(5!3!2!)^(13)C_2`

The number of ways of arranging the letters AAAAA, BBB, CCC, D, EE and F in a row, if the letters B are separated from one another, is equal to

Solve- (2/13)^(4/3)div(2/13)^(5/3)

2 3/5-:5/7=\ (a) (13)/7 (b) (13)/(25) (c) (91)/(25) (d) (25)/(91)

A fraction equivalent to 2/3\ is (a) (2+3)/(3+3) (b) (2-1)/(3-1) (c) (2\ xx\ 5)/(3\ xx\ 5) (d) (2+5)/(3+5)

The smallest of values of x^2-3x+3 in the interval [-3,3/2] is a. -20 b. -15 c. 5 d. 3/4

The reciprocal of the fraction 2 3/5 is (a) 2 5/3 (b) (13)/5 (c) 5/(13) (d) 2 2/5

Which of the following is a proper fraction? (a) (13)/(17) (b) (17)/(13) (c) (12)/5 (d) 1 3/4

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 int (3sin x+2 cosx)/(3cosx+2sinx)dx=ax+blog_(e)|2 sinx+3 cosx|+c then a. a= -(12)/(13) b. b=(6)/(13) c. a=(12)/(13) d. b= -(15)/(39)