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A,B and C have respectively 4,3 and 2 di...

A,B and C have respectively 4,3 and 2 differrent books. In how many different ways can they interchange the books among themselves, without altering the total number initially possessed by each ?

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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-ALGEBRA
  1. In n gt 7 prove that ""^(n-1)C(3)+""^(n-1)C(4) gt ""^(n)C(3)

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  2. If (""^(n)C(r-1))/(a)=(""^(n)C(r))/(b)=(""^(n)C(r))/(c) prove that n=(...

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  3. A,B and C have respectively 4,3 and 2 differrent books. In how many d...

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  4. Find the modulus and ampltidue of the complex in numberz=(-2-i2 sqrt(3...

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  5. Find the amplitude of z=1+i "tan" (3pi)/(5)

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  6. Find the modulus and amplitude of z="sin" (6pi)/(5)+I (1+"cos" (6pi)...

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  7. There are m A.P. Whose common differences are 1,2,3,.. M respectively...

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  8. If S(1),S(2),S(3),...S(m) be the sum of first n terms of n A.P. Whose...

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  9. Show that the sum of the numbers in the n th bracket of the series (1)...

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  10. Show that the following two A.P. is have 14 common terms 3,7,11,15...,...

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  11. Show that there are 17 identical terms in the following two A.P. 2,5,8...

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  12. Find the n th term and the sum of first n terms of thefollowing sequen...

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  13. Solve |x^(2)+4x+3|+2x+5=0

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  14. For a gt0, determine all the roots of the equations x^(2)-2a|x-a|-3a...

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  15. How many five -digit numbers divisible by 3 can do formed using the d...

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  16. How many five-digit telephone numbers with pairwise distinct digits ca...

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  17. Five speakers A,B,C,D and E will speark at a meeting. In how many ways...

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  18. If z(1)=3i and z(2)=-1-i , where i=sqrt(-1) find the value of arg ((z(...

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  19. Show that the number of solutions of equations |x|^(2)-3|x|+2=0 is 4.

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  20. Show that (1)/(2)[(x-y)^(4)+(y-z)^(4)+(z-x)^(4)] is perfect square.

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