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  1. C

    Permutations and Combinations

    What do you mean a typical solution is 11431 and why did you take 8C3. There are no 8 prizes to choose 3 from. I did this to get 1024
  2. C

    Permutations and Combinations

    So, the number of ways of distributing the prize 1) If the prizes are distinguishable: no. of prizes, ways of choosing them WAYS OF ARRANGING THEM TOTAL I II III IV...
  3. C

    Permutations and Combinations

    How come you got the answer 56 and I didn't understood what the word divider is supposed to mean in post 11
  4. C

    Permutations and Combinations

    So by what factor should I divide if I am not considering the prizes to be distinct
  5. C

    Permutations and Combinations

    But I am considering all the prizes to be same i.e A is same as B is same as C is same as D is same as E
  6. C

    Permutations and Combinations

    Then if I take all the prizes not distinct then my answer would be correct? What changes then I would have to apply in the answer 4^5 to get the same for non-distinct prizes. Is it 4^5/5!
  7. C

    Permutations and Combinations

    I fif it that way and since each price have prize will have 4 ways so 5 prizes will have 4^5=1024 ways. But can you please tell the faults or mistakes I made in the previous approach
  8. C

    Permutations and Combinations

    But in the question it isn't written anywhere if the prizes are distinct or not
  9. C

    Permutations and Combinations

    Since, I am putting 4C1, doesn't it include all the possibilities whether its second or third or fourth
  10. C

    Permutations and Combinations

    the first boy has 6 ways, either he wins 0 or 1 or 2 or 3 or 4 or 5 ways According to the first boy, the second boy also has 0 or 1 or 2 or 3 or 4 or 5 chances According to the first and second boy, the other boy also has 0 or 1 or 2 or 3 or 4 or 5 chances. So, the answer should be 4(either of...
  11. C

    Trigonometry (re-moved to Precalc Math Homework)

    How come the L.H.S of an equation is not defined for a point but the RHS value is. Then both the functions are not equal and our equality shouldn't hold
  12. C

    Trigonometry (re-moved to Precalc Math Homework)

    but f( 90 degrees )=-2 when solved through the LHS part, then why in the graph it is-1
  13. C

    Trigonometry (re-moved to Precalc Math Homework)

    Can you please tell me where's the mistake
  14. C

    Trigonometry (re-moved to Precalc Math Homework)

    The answer 2sin^2(A) was given as the answer in the book. But when I put any value of A, like 90 I don't get the LHS and RHS EQUAL. Also when I put A=90 in the answer I got I didn't get LHS = RHS
  15. C

    Trigonometry (re-moved to Precalc Math Homework)

    [cos^2(2A)-1 +2sin^2(A)cos^2(A)]/sinA(cos2A+1) =[cos^2(2A)-1 + sin^2(2A)/2]/sinA(cos2A+1) =[cos^2(2A)-1]/2sinA(cos2A+1) =[cos(2A)-1]/2sinA =-2sin^2A/2sin(A) =-sinA But this isn't correct when I put some values of A for eg. 90 degrees and 45 degrees
  16. C

    Trigonometry (re-moved to Precalc Math Homework)

    cos2A+1=2cos^2A cos2A-1=2sin^2A Yeah I typed it wrong. But I am still not getting the answer. Give me a hint on how to proceed. (cos2A -1)/sinA +sin2A/(cos2A+1)*cosA [cos^2(2A)-1 +2sin^2(A)cos^2(A)]/sinA(cos2A+1) [-sin^2(2A) + 2sin^2(A)cos^2(A)]/sinA(cos2A+1)
  17. C

    Trigonometry (re-moved to Precalc Math Homework)

    Homework Statement: (cos2A -1)/sinA +sin2A/(cos2A+1)*cosA=__________________ Homework Equations: sin2A=2sinAcosA cos2A+1=cos^2A cos2A-1=sin^2A (cos2A -1)/sinA +sin2A/(cos2A+1)*cosA [cos^2(2A)-1 +2sin^2(A)cos^2(A)]/sinA(cos2A+1) [-sin^2(2A) + 2sin^2(A)cos^2(A)]/sinA(cos2A+1) I cant proceed...
  18. C

    Trigonometry: if a = sinx+cosx and b=tanx+cotx, then a(b^2-1)-2 = ?

    Thank you, I think the question is wrongly printed
  19. C

    Trigonometry: if a = sinx+cosx and b=tanx+cotx, then a(b^2-1)-2 = ?

    the answer should be 0 But I don't know how to further proceed please give me a hint
  20. C

    Trigonometry: if a = sinx+cosx and b=tanx+cotx, then a(b^2-1)-2 = ?

    b^2-1= tan^2(x) + cot^2(x) + 2 -1 b^2-1= sin^2(x)/cos^2(x) +cos^2(x)/sin^2(x) -1 b^2-1=[sin^4(x) +cos^4(x)]/sin^2(x)cos^2(x) -1 b^2-1=[1-sin^2(x)cos^2(x)]/sin^2(x)cos^2(x) -1 a(b^2-1)=sinx+cosx {[1-sin^2(x)cos^2(x)]/sin^2(x)cos^2(x) -1 } I am not able to go any further than this step to reach...
  21. C

    Question about sp3 hybridization

    why the overlap will be smaller. I am just saying than instead of overlapping of the carbon's unhybridized orbital pz with that of another carbon. Can't the two carbon have their orbitals overlapped in the hybridized state? the energy of hybridized orbital will definitely be less than that of...
  22. C

    Question about sp3 hybridization

    I know the geometry of sp3 orbitals is tetrahedral and sp2 is trigonal planar which is the geometry of ethene. So is it purely based on experimental value than on p orbital shouldn't be hybridized to form a trigonal planar shape
  23. C

    Question about sp3 hybridization

    why is sp2 hybridized carbon is need with only 3 hybridized orbitals and one unhybridized orbital? The unhybridized orbital forms a bond anyway. Then why can't they be hybridized and form the same bond
  24. C

    Work done in moving a charge

    Work done in moving a charge around the circular path is 0 because the distance between the charges remain the same so there is no potential difference and delta(V)=0 but I thinkk some torque or external force must be required to move the charge around the circula path
  25. C

    Limits and L'hopital's rule

    Yes but should i consider the power 1/x^2 while differentiating the numerators and denominator
  26. C

    Limits and L'hopital's rule

    It is of the form (0/0)^infinity. I know how to solve 1^infinity form
  27. C

    Integration from Summation

    shouldn't lower bound of summation i=0 rather than i=1 since you have kept the function f(xi)=(a+i(Δx))^2 as for the area under the function we had a terms (a+a+Δx+a+2Δx+.....+a+9(N-1)Δx)Δx
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