i. How many different sequences are possible? ii. How many different sequences have all hip, knee, and shoulder surgeries scheduled consecutively? iii. How many different schedules begin and end with a knee surgery?

The first three figures in a growing pattern of tiles are shown above. The pattern of tiles contains 50 figures. A). Describe the 20th figure in this pattern, including the total number of tiles it containsand how they are arranged. Then explain the reasoning that you used to determinethis information. B) Write a description that could be used to define any figure in the pattern.

In a states pick 3 lottery game, you pay $1.43 to select a sequence of three digits (from 0 to 9) such as 133. If you select the same sequence of three digits that are drawn, you win and collect 470.92 how many different selections are possible?

6a. If a die is rolled 30 times, there are 630 different sequences possible. The following question asks how many of these sequences satisfy certain conditions. What fraction of these sequences have exactly seven 3s and seven 2s? (Round your answer to five decimal places.)   6b. A poker hand consists of 5 cards from a standard deck of 52. Find the number of different poker hands of the specified type. two pairs with exactly one pair being fours (two fours, two of another denomination, and one of a third)   6c. A poker hand consists of five cards from a standard deck of 52.  Find the number of different poker hands of the specified type. Two of a kind (two of one denomination and three of different denominations)   6d. A poker hand consists of five cards from a standard deck of 52. Find the number of different poker hands of the specified type. Straight (five cards of consecutive denominations: A, 2, 3, 4, 5 up through 10, J, Q, K, A, not all of the same suit) (Note that the ace…

A combination lock uses three numbers between 1 and 88 with repetition, and they must be selected in the correct sequence. Isthe name of "combination lock" appropriate? Why or why not? Choose the correct answer below. A. Yes, because the combinations rule would be used to determine the total number of combinations. B. No, because the permutations rule would be used to determine the total number of combinations. C. No, because the multiplication counting rule would be used to determine the total number of combinations. D. No, because factorials would be used to determine the total number of combinations.

A warehouse tracks inventory using stock codes consisting of a sequence of 5 uppercase letters chosen from the list A,B,C,D,E,F,G,H,J,K followed by a sequence of 3 digits in the range 1…9 How many possible stock codes are there?

Classifying the following as either permutations or combinations. The number of distinct 9- digit social insurance numbers. The number of 3-person teams that can be formed from the 9 volunteers. 1. Permutation The number of 2. Combination arrangements of 6 friends waiting in line for a movie. The number of 2 topping pizza from 40 possible topping.

Suppose a telephone number consists of a sequence of seven digits not starting with a 0 or 1.  a.   How many telephone numbers are possible? b.   How many of them begin with either 463, 460, or 400?

a) How many different cards can be made if she uses only the digits 0, 1, 2, 3, 4, and 5 where repeating a digit is permitted?