the answers are right show the work

Numeric Response 4 The exponential function y = a () represents an exponential decay. Given that a, d E W, and a is a single digit number, the number of possible different equations is (Record your answer in the boxes provided) 2 7 Numeric Response 5 The initial score of any game begins at 0 - 0. If the final score of a hockey game between the Flames and Oilers is 5 - 4 for the Flames, the number of different scores that were possible at the end of the first period is (Record your answer in the boxes provided) 3 D Use the following information to answer the next question A circle with 9 dots is shown. Numeric Response 6 The number of different triangles that can be formed by connecting dots is (Record your answer in the boxes provided) 18 Numeric Response 7 For a picture, 4 girls and 4 boys are being arranged in line such that the genders alternate. The number of different arrangements for the children in the picture is _ (Record your answer in the boxes provided) 1 S Numeric Response 8 Determine how many odd four-digit numbers between 4000 and 8000 can be formed. The amount is (Record your answer in the boxes provided) 2/0/010Numeric Response 9 The number of arrangements of the word BOOKKEEPER if it must begin with exactly three vowel's is (Record your answer in the boxes provided) 9 0 0 0 Use the following information to answer the next question Routes from Point A to B is shown. Numeric Response 10 How many ways can your travel from Point A to B if you always must travel North and East? The number of routes is (Record your answer in the boxes provided) 1 2 0 Numeric Response 11 How many odd six-digit numbers can be formed by rearranging the digits in the number 214 413? The number of arrangements is (Record your answer in the boxes provided) Numeric Response 12 The number of arrangements of 8 boys if there is a set of triplets among them whom must remain together is (Record your answer in the boxes provided) 4 3 2 0Numeric Response 13 The number of permutations of the word JOURNEY where J and Y are not together is (Record your answer in the boxes provided) 3 6 0 0 Written Response SHOW ALL YOUR WORK FOR FULL MARKS 1. How many 5-digit or 6-digit PINs can be formed that begin and end with an even digit? [1 mark] Answer = 275, 000 2. Simplify and solve algebraically: 8(n(n-2) = nP3 [2 marks] Answer - n = 6Use the following information to answer the next question. A student is asked to calculate the number of arrangements for each of the following scenarios. Scenario A: Parking one red, one blue and one black car in a lot with 5 parking spots. Scenario B: Deciding which 9 countries to visit on a vacation from 12 choices Scenario C: A team of 8 basketball players choosing their captain and co-captain. Scenario D: There are 45 applicants for 3 computer programming jobs. Numeric Response 1 Use the following code to indicate whether the problem can be solved using permutations or combinations. 1 = Solve using permutations 2 = Solve using combinations 2 Scenario A Scenario B Scenario C Scenario D (Record your four-digit answer for ABCD in the boxes provided) 1 2 1 2 Use the following information to answer the next question. A breakfast meal at Breaky's includes a choice of toast, a style of eggs, a side order and a beverage. The options are shown: Toast: white, brown, or rye Eggs: poached, scrambled, sunny-side up, or over easy Side order: bacon, ham, turkey sausage, or hash browns Beverage: coffee, tea, orange juice or milk Numeric Response 2 The number of different meals Kelly could order if she does not eat bacon, ham or white bread is (Record your answer in the boxes provided) Numeric Response 3 A Math class of 21 students contains 10 females and 11 males. A team of 3 students is to be selected to attend the Math Olympics. The number of possible teams is (Record your answer in the boxes provided) 3 13 O