Question

a) Compute the coefficient of the term z70 in the expansion of the polynomial (1za2+3++z70)6. ompute the coeficient of the term x polynomial (1+z+2+++z20)6. b) Compute the coefficient of the term z70 in the expansion of the in the expansion of the 2016 iv) Six people of different heights are in line to buy some tasty ice cream. a) Compute the number of ways the six people can be arranged so that first three are ordered according to height, tallest to shortest. b) Compute the number of ways the six people can be arranged so that first four are ordered according to height, tallest to shortest. c) Compute the number of ways the six people can be arranged so that first three are ordered according to height, tallest to shortest, and the last three are ordered according to height, tallest to shortest. d) Compute the number of ways the six people can be arranged so that no three consecutive people are arranged in order of height.

Answer 1

6 od 192 213 436 리3

2-13 10 1ネ踧cCots,.to) =75C = 17 as9 390 오} 3 หุ้ースオナ)

62 12.6 C3 10 9 10 to 49 1838 S3 18a8S30