Which word has the fewest permutations of its letters? a) census Ob) follow c) fierce d) faster

4) Find the missing term in each pattern: a) 243; 324; 405; , ; 567 b) 234; ; 23,481; 234,819; 2,348,200

Calculate the number of permutations, given n = 11 and r = 4.  720  1,680  5,040  7,920

Compute the following numbers:b. How many three-letter “words” are there without repeated letters? (so no “BBA”)

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Sammy's Salsa, a small local company, produces 20 cases of salsa a day. Each case contains 12 jars and is imprinted with a code indicating the date and batch number. To help maintain consistency, at the end of each day, Sammy selects three bottles of salsa, weighs the contents, and tastes the product. Help Sammy select the sample jars. Today's cases are coded 07N61 through 07N80. Complete parts a) through c) below. a) Carefully explain your sampling strategy. Choose the correct answer below. OA. Select one jar randomly from each case. B. Select the most convenient case. Then select the first three jars from the case. OC. Select three cases at random. Then select one jar randomly from each case. OD. Select one case at random. Then select three jars randomly from the case. b) Show how to use random numbers to pick the three jars for testing. Choose the correct answer below. A. Use random numbers to choose one case from numbers 61 through 80. Then use random numbers between 1 and 12 to…

Consider the Venn Diagram below which shows the number of elements in each region. A B 8 2 3 How many elements are in A? How many elements are in B? How many elements are in An B? How many elements are in AUB?

How many arrangements of the word MATHEMATICS have each consonantadjacent to some vowel?

How many di erent arrangements are there of the letters A, B, C, D, E, and F for which E is not the last letter?

5)Write the number of shaded squares in each triangle. Write the rule for the pattern and sketch the next triangle. How many shaded squares will be in the 12th triangle? How many in the 100th? And now how many in the n-th triangle?