need discrete math help by tomorrow. answer either set 1 or set 2. not both. set

Question

need discrete math help by tomorrow. answer either set 1 or set 2. not both.

set 1:

or

set 2:

1. Use the binomial theorem to find the following coefficients. (a) The coefficient of x^17 in the expansion of (3x - 2)^20. (b) The coefficient of x^4y^6 in the expansion of (x + y)^18 + (x - y)^10. (c) The coefficient of x^8y^7 in the expansion of (-x + 2y)^15(x + 2y)^15. 2. Use binomial coefficients to solve the following counting problems. (a) How many hexadecimal numbers with ten digits or less contain exactly four E's? (b) How many ten bead necklaces can you make out of red, green, blue, yellow, black, and white beads that have exactly four blue beads and one black beads? (Hint: remember that a necklace can be rotated and still be considered the same necklace.)

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