Numeric Response 7 The value of a is Find the value of a if the expansion of (4x + 3)30-8 has 17 terms. (Record your answer in the boxes provided at the end of this section) Use the following information to answer the next question A student made the following statements about the expansions of Expression A and B. Expression A ( atb )* Expression B (a+b) Statement 1 The sum of the coefficients is 14. Statement 5 For the term 70atb" , the value of m is 4. Statement 2 The first term is Cab's The leading coefficient of Statement 6 the first term is C1 . The sum of the leading Statement 3 The total number of terms is 5. Statement 7 coefficients of all the terms is 256. The middle term is Statement 4 For the term 4a'b", the Statement 8 value of m is 1. 56a*b* Numeric Response 8 Listed respectively, the two true statements describing Expansion A and the two true statements describing Expansion B are _, and (Record your four-digit answer in the boxes provided at the end of this section) Please record your Numeric Response and Multiple Choice answers below: NF Multiple Choice: 5. 6. 3. 4. 1 . 2 . NR #5 NR#4 Numeric Response: NR #3 NR #2 NR #1 NR #8 NR #7Use the following information to answer the next question In a chili cook-off, people are asked to come up with a unique creation. Of the ingredients provided, they are asked to pick: 1 type of meat out of 3 3 spices out of 5 2 sauces out of 4 To include corn or not 1. The number of different types of chili that could be made is A. 3 x 5 x 4 x 3 x 4 X 3 B 3C1 X 5C3X 4C2 X 2C1 C. 3C1 X 5C3X 4C2 D. 3 P 1 X 5P3 X4P2 X 2P1 Numeric Response 1 The number of 7 - letter arrangements of the letters in the word ALMONDS that begin and end with consonants is (Record your answer in the boxes provided at the end of this section) Use the following information to answer the next question Emily is volunteering at a children's party. There are 17 children at the party and each child is given a s' to give the children. to take home. The volunteers have 6 stuffed bears, 4 models, and 7 spinning tops to give 2. The number of ways that the toys can be distributed to the children is A. 176 X 17C4 X 17C7 B. 6! x 4! X 7! C. 17P6 X 17P4 X 17P7 D 176 X 11C4 X 7C7 3. Three friends and their three significant others have six tickets to the ballgame. The number of they be seated in a row if each couple must sit together is A. 12 B. 24 C 36 D. 486. An equivalent expression of C, is A. b Ca B . Ca-b C. Cb-a D. b a The Bay Use the following information to answer the next question A store manager is trying to arrange 5 types of produce in the produce isle. The 5 types are: . Peppers, Broccoli, Apples, Strawberries and Garlic He can order them in any arrangement he chooses provided the garlic is NOT next to the strawberries. Numeric Response 5 The number of possible arrangements is (Record your answer in the boxes provided at the end of this section) Use the following information to answer the next question A student made the following statements regarding the expansion of (2a + b)4: Statement 1: The total number of terms is 5 Statement 2: The middle term is 24a2b2 v Statement 3: The sum of the exponents on each term is 6x Statement 4: The leading coefficient on the first term is 4Cox Statement 5: For the term 32a3bm, the value of mis 1 Statement 6: The leading coefficient of the first term is 16 Numeric Response 6 The four true statements are numbered 2, 2 , 5 , and 6 (Record your four-digit answer in the boxes provided at the end of this section)bra enoilalumno9 :V ung A mox) andten dmob Numeric Response 2 2n! (n-1)! = 130 Simplify and solve the following: (n-2)! (n-3)! The value of n is (Record your answer in the boxes provided at the end of this section) here are 7 men and 5 women on a council. The number of committees of 4 people that can be selected if at Numeric Response 3 east 2 men are to be on the committee is: 420 (Record your answer in the boxes provided at the end of this section) The number of different 5 letter arrangements that can be made using 2 letters from the word WACKY and 4 . any 3 letters from the word RHINO is A 12000 B. 14400 C. D 252 100 Numeric Response 4 The number of distinct arrangements of the word SASSAFRAS is 25 20 ( Record your answer in the boxes provided at the end of this section) is 5. An octagon has eight vertices. The number of different triangles that can be formed using these 8 vertices A. 336 B. 328 C 56 D. 48