Question

Part B(COMBINATORICS) LEAVE ALL ANSWERA IN TERMS OF C(nr) or factorials Q4(a)6) In how many ways can you arrange the letters in the word INQUISITIVE? in how many of the above arrangements, U immediately follows Q? Q4. (b)Suppose you are a math major who is behind in requirements and you must take 4 math courses and therefore next semester. Your favorite professor, John Smith, is teaching 2 courses next semester you "must" take at least one of them. If there are 8 different math courses (besides those that John el available to you, how many ways are there to take your 4 classes? Show all work with Smith is teachin full explanation Hint: Consider cases that you either take one or two courses with Prof. Smith. Q4(c) The number of ways of distributing 12 identical bottles of lemonade to 5 children, such that each child gets at least one bottle. Write the formula that you are using. Q4d) Give a combinatorial argument to prove the following identity C(2n,2) 2C(n,2)+ n2 Give a word problem which can be done in two ways; for one solution the answer is the right hand side and for the second solution the answer is the left hand side of the following equation.

Answer 1

ベー anっ沁ひ

T es csn从んし, taken 4.arta, y 8c CA Lotte chils

lettery 4 I's A Q 소N 소Y w. er. tte