a. The lazy math teacher has a class of 31 students and wants to assign some of them A's, some B's, some C's, some D's, and some F's. If it is not important to the teacher how many of each grade is assigned, how many ways can they choose how many of each to give?

9 (C) (a) You give your students the following problem: "You just bought 30 beads of which 18 are gold and identical and 12 are silver and identical. You want to line them up in a row. How many different arrangements of the beads can you make?" Elizabeth solves the problem by finding the number of distinguishable permutations of 30 objects, 18 alike of one kind and 12 alike of another kind. That is, she uses the result of the previous problem. Natalie solves the problem by finding the number of combinations of 30 different objects taken 18 at a time. Who is correct? (b) Does the number of permutations of n objects, ralike of one kind and n r alike of another kind, always equal the combinations of n different objects taken r at a time? Explain.

Question 3 Assume that 30% of the students in a college have GPA over 3.0. Consider randomly selected group of 10 students. How many of them you expect to have GPA over 3.0? Enter the integer value. 0.009

Is there a relationship between autism and what an infant is fed? To determine if there is, a researcher asked mothers of autistic and non-autistic children to say what they fed their infant. The data are in table below     Feeding     Autism Breastfeeding (B) Formula with DHA/ARA (FW) Formula without DHA/ARA (FO) Row Totals Yes 11 40 63 114 No 11 24 10 45 Column Totals 22 64 73 159 a) Since data were collected for            variable(s), the correct graph to make is a       b) Which of the following is the correct graph for the above data with Feeding grouped by Autism.