Algebra Two Marks Question

11th Standard

    Reg.No. :
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Business Maths

Time : 00:45:00 Hrs
Total Marks : 30
    15 x 2 = 30
  1. Verify that 8C4+8C3=9C4

  2. Evaluate the following expression.\(\frac { 7! }{ 6! } \)

  3. If four dice are rolled, find the number of possible outcomes in which atleast one die shows 2.

  4. ResoIve into partial fractions :\(\frac { 12x-17 }{ (x-2)(x-1) } \)

  5. Show that 10P3 = 9 P3 + 3. 9P2

  6. Find the number of permutations of English vowels A, E, I, 0, U taking two at a time?

  7. Find n if 25 Cn+5 = 25 C2n-1.

  8. Find the number of diagonals that can be drawn by joining the angular points of octagon ?

  9. If P(n) is the statement "23n -1 is a multiple of 7" then show that P (5) is true.

  10. Evaluate: 8P

  11. Using 9 digits from 1,2,3,……9, taking 3 digits at a time, how many 3 digits numbers can be formed when repetition is allowed?

  12. In how many ways 8 students can be arranged along a circle

  13. If nC4 = nC6 , find 12Cn

  14. From a class of 32 students, 4 students are to be chosen for competition. In how many ways can this be done?

  15. If (n + 2)Cn = 45, find n

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