Question

URGENT: (discrete math) please help. I'll rate positive immidiately.

5. (a) Use identities to determine the value of 393 + 40% +41 +423 + 433 + ... +793 (b) Determine which amount of postage can be formed using 4-cent and 5-cent stamps. Then prove your answer using strong induction. 6. (a) Compute the coefficient of x'yin (20+5y) and the coefficient of xy in (30+4 Which is larger? Why? (b) A poker hand consists of 5 cards. What is the probability that a randomly dealt poker hand consists of any five diamonds?

Answer 1

@ 13 + 2 + . . + 13 = (ntnog 13 . - 1882072 [ 38x19 (79840) – (19839) ? 6 4-cent, 5-cent. 4,5,8,19,9,10,12,14,15,16,17,18,19,- Claim, n712 can be formed by 4 and 5 cents - P(n) P(12) = 4x3 P(13) = 4x2 +5, P/14) - 4+ 5x 2, P101= 5x3 manume that P (12) P/B), ... P (K) all austru. Nent me puore Be Plati) Ker) = (КФ - 34 Дno P (-3) & tra, Kim, — - P (kt) is abo time. fenace, by strong induction Pla) is tuu. Ter (11,5,8,9,10% 0 {1 712) can be somety 485 cents. S ONO