HEY GUYS...

TEST UR SKILLS WID THESE QUESTIONS....

 

RATES FOR  COMPLETE SOLNS!!!!!

 

Q1. THERE ARE 3 NON ZERO POSITIVE INTEGERS a,b,c
        GIVEN  :  LCM OF a,b   = (2^3)(5^3)
                         LCM OF a,c   = (2^4)(5^3)
                         LCM OF b,c    =(2^4)(5^3)
        HENCE FIND THE TOTAL NUMBER OF  TRIPLETS  (a,b,c)

 

Q2. A SUBSET A IS CHOSEN FROM A SET CONTAINING n ELEMENTS
       THEN THE ELEMENTS OF SET A ARE REPLACED INTO THE ORIGINAL SET.
        FIND THE NUMBER OF CASES WHEN
         i)AUB CONTAINS r ELEMENTS
        ii)AUB IS THE UNIVERSAL SET
        iii)n(B)<n(A)

 

Q3.THE LETTERS OF THE WORD "SUCCESS" ARE REARRANGED.
       FIND THE TOTAL NO. OF WORDS FORMED SUCH THAT NO TWO CONSEQUETIVE LETTERS ARE NEXT  TO EACH OTHER.

 

Q4.A LINE OF LENGTH a IS DIVIDED INTO 3 PARTS.
      FIND THE PROBABILITY THAT THE THREE PARTS FORM THE SIDES OF A TRIANGLE.
      i)  2/7           ii) 3/13          iii) 1/4        iv) 3/7

 

Q5.THE SUM OF THE COEFFICIENTS OF INTEGRAL POWERS OF x IN THE EXPANSION OF [1+2(x^1/2)]^40 is
       _______

 

Q6.IN THE EXPANSION OF (x-1)(x^2 - 2)(x^3 - 3)...........(x^n - n)
      FIND THE COEFFICIENT OF x^[(1/2)(n^2 + n + 14)]