The possible letters are d, l, n, t, and v, and we wish to form a four-letter sequence. Therefore, we must calculate a permutation of ___ items taken ___ at a time. In other words, P( ___ , ___ ) fill in the blank

Q: How many choices are there for a person to check out 4 CDs from a library that has 25 CDs of his…

A: Given : n = 25 x = 4

Q: A stack of boxes has 17 rows. The bottom row has 40 boxes, and the top row has 8 boxes. Assuming…

A: A stack of boxes has 17 rows. so, number of rows, n=17 Bottom row contains 40 boxes. ∴ a1 = 40 Top…

Q: How many four letter sequences are possible that use the letter a,b,c and d once each. ????

A: We have four different letters a, b, c and d. Our aim is to find the number of all possible…

Q: Panaderio Bakery is getting more and more orders for durian pies. The bakers made 6 durian pies in…

A: In this pattern we get the next term by adding 6 to the previous term

Q: How many ways are there to arrange 10 people in a line? Suppose it took 1 minute to arrange these…

A:

Q: How many ways can three people be selected from a group of seven people if order DOES matter

A: Given that, Total number of peoples = 7

Q: How many different three-letter sequences can you make by rearranging the letters {J,A,C,K}?…

A: If we have so many things then we arrange those in a certain order, or without order. But we arrange…

Q: How many different two-letter sequences can you make by rearranging the letters {J,A,C,K}? Duplicate…

A: We need to find in how many different ways two-letter sequences can be made by rearranging the…

Q: A pass word is to have 5 characters, with 3 letters and 2 digits. How many different sequences are…

A: GIvenlength of password = 5 charactersNo.of letters = 26     (i.e., from A to Z)No.of digits = 10…

Q: A bag contains the letters A, B, C, D, E, F. You draw three  letters out of the bag (without…

A: Given: Total number of letters = 6 Number of draw letters = 3 Formula: If there are total n letters…

Q: If a license number is selected randomly, what is the probability that yours is the one selected?

A: 3 places to be filled with 10 choices for each place: 10*10*10= 10³ = 1000

Q: Suppose we want to choose 2 letters, without replacement, from the 4  letters A, B, C, and D. How…

A:

Q: A ternary digit is either 0, 1, or 2. How many sequences of nine ternary digits are possible…

A: The ternary digit is either 0 or 1 or 2.

Q: Suppose there are 20 students in our class and we want to choose 3 to sit in the front row. How many…

A: Given information There are 20 students We want to choose 3 to sit in the front row Total number of…

Q: How many four-letter sequences are possible that use the letters c, r, h, e once each?

A: According to the given information in this question We need to find that how many four letters…

Q: On Sunday mornings, I direct a church choir I am responsible for choosing the hymns. Suppose 20…

A: There are total 20 hymns. I have to pick 8 hymns. Given that the order does matter. So we can use…

Q: You are burning a CD for your assignments. You have assignments of 15 different topics. However, you…

A: Note: Hi there! Thank you for posting the question. As there are multiple questions, according to…

Q: You are preparing the program for a concert. If the band has 10 songs prepared and will play 6 of…

A: band had 10 songs and play 6 of them .  order of song is important.  no. of ways to do programs = ?

Q: How many 7-letter sequences can be made using the letters in the word U R U G U A Y exactly once…

A: We have to find number of permutations possible.

Q: A coin is flipped 10 times and the sequence of heads and tails recorded. In how many ways can a…

A: Here we need to use binomial distribution

Q: A license plate is a sequence of 2 letters followed by 2 different digits.     A letter is A…

A: There are totally 26 letter and 10 digits. A license plate is a sequence of 2 letters followed by 2…

Q: An engineer in technical sales must visit plants in Vancouver, Toronto, and Winnipeg. How many…

A: