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In: Statistics and Probability

One String of length 32 which has 10 ‘E’ s, 16 ‘F’s and 6 ’G’s that...

  1. One String of length 32 which has 10 ‘E’ s, 16 ‘F’s and 6 ’G’s that begin with ‘E’ and end with ‘E’. Find how many palindromes can we make from the string.
  1. If you need to choose 8 cards from deck of 52 cards so that at least 4 cards of the chosen cards are hearts.
  1. Find the coefficient of x^39 in (-8x+(3+x)^12)^5 using binomial theorem.

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