d) How many different three letter sequences can be formed using the letters in the word OPTIC. Assume the sequence does not have to be a real word, and does not repeat letters.

Q: How many different sequences or orders of visiting these four plants are possible? In how many…

A:

Q: How many five-letter sequences are possible that use the letters q, u, a, k, e, s at most once each?

A:

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

A: We have to find out the possible no. Of four letter sequence.

Q: A pin number is formed by choosing an ordered sequence of 4 digits from the set {0–9} where…

A: Given: A pin of 4 digits Set (0-9) of 10 digits are used to form pin

Q: How many ordered sequences are possible that contain four objects chosen from thirteen?

A: According to the given information in this question We need to find the value P( 13,4)

Q: 1. Suppose a club has 22 members. a. How many ways can they form a 5-person committee? b. Once the…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: In a certain state license plates are formed by choosing 2 letters followed by 4 digits without…

A: Solution: Let L1 and L2 be the first two letters of a license plate.  For L1 we have 26 options…

Q: How many four-letter sequences are possible that use the letters d, k, m, t, v at most once each?

A: Given  n=5 r=4 to calculate, P(n,r)

Q: In a​ state's Pick 3 lottery​ game, you pay ​$1.12 to select a sequence of three digits​ (from 0 to​…

A: In a Pick 3 lottery game, a person has to pay $1.12 to select a sequence of three digits from 0 to…

Q: . An engineer is scheduled to visit four manufacturing plants in CSU Piat, Cauayan, Ilagan, and…

A: Solution

Q: How many ordered sequences are possible that contain nine objects chosen from fifteen?

A:

Q: Question: How many unique sequences of 3 symbols that can be formed from 9 symbols? Answer:…

A: Given that there are total number of 9 symbols. A unique sequence of three symbols have 2 or 3…

Q: Consider the following sequence of numbers: 2, 4, 8, ... Is there enough information to guarantee…

A:

Q: How many ordered sequences are possible that contain two objects chosen from nine?

A:

Q: As which term does appear in the sequence 81, 27, 9...? 27 a. 5th b. 11th 8th с. d. 15th е. 12th

A: This question we are given we are given with a series and we have to find that a term which will…

Q: How many different words (letter sequences) can be obtained by rearranging the letters in the word…

A: Introduction: Suppose n objects are to be arranged among each other. Then, the number of possible…

Q: a) How many 7-letter quarternary (alphabet of 0, 1, 2, 3) sequences can be constructed with…

A: a) there will be 7C4 possible sequences which is equal to 35

Q: How many ordered sequences are possible that contain eleven objects chosen from thirteen? ordered…

A:

Q: How many ordered sequences are possible that contain fourteen objects chosen from fifteen?

A: To find the order of sequence are possible.

Q: the

A:

Q: A computer stores information as 16 digit binary strings (a sequence of 16 1's or O's). How many…

A: We are given that computer stores the information in 16 bits strings

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: A pin number is formed by choosing an ordered sequence of 4 digits from the set {0–9} where…

A: A 4 digit pin is constructed from the set {0-9} where repetition are not allowed but numbers…

Q: In how many ways can the letters in the word sequences be arranged if the first letter must be Q?

A: There are 9 letters in the word sequences.   Letter Frequency s 2 e 3 q 1 n 1 c 1 u 1…

Q: (6) In our discussion about Fibonacci sequence, we said that Fibonacci numbers occur in the species…

A:

Q: How many different seven-letter sequences can you make by rearranging the following 12 letters and…

A: A permutation is an arrangement of objects in a specific order  i.e. AB ≠ BA In Permutation order…

Q: How many ordered sequences are possible that contain nine objects chosen from thirteen?

A: How many ordered sequences are possible that contain 9 objects from 13?

Q: How many ordered sequences are possible that contain five objects chosen from eleven?

A: Total objects, n = 11 r = 5 Ordered sequences

Q: 9 Certain automobile license plates consist of a sequence of three letters followed by four digits.…

A: Given that Certain automobile license plates consist of a sequence of three letters followed by four…

Q: List the first five terms of the sequence. a1 = 4, an+1 = 5an – 1 a1 = a2 аз az = a4 a5 =

A: Fist five teems of the sequence

Q: How many ordered sequences are possible that contain eight objects chosen from eleven?

A: Given that, Total objects = 11 Order matters

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: In how many ways can first, second, and third prizes be awarded in a contest with 720 contestants?…

A: We have given that- We have to award first, second, and third prizes in a contest with 720…

Q: How many four-letter sequences are possible that use the letters b, p, g, e once each? ?sequences

A: We have four letters and four places. Every sequence should contain every letter once.

Q: 2. How many different license plates can be made if each plate contains a sequence of three…

A: Using the fundamental counting principle, it can be written that if there is a sequence of…

Q: How many palindrome are there?

A: A palindrome is a sequence of a number that readidentically from left to right and from right to…

Q: In a​ state's Pick 3 lottery​ game, you pay ​$1.48 to select a sequence of three digits​ (from 0 to​…

A: In this question, a plays pick 3 lotter game, you need to pay $1.48 to select a sequence of three…

Q: How many ordered sequences are possible that contain four objects chosen from seven? ordered…

A:

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: How many different sequences are possible? How many different sequences consist entirely of even…

A: * SOLUTION :-

Q: Let Fib (n) be the nth term of the Fibonacci sequence, with Fib (1) = 1, Fib (2) = 1, Fib (3) = 2,…

A: Let Fib (n) be the nth term of the Fibonacci sequence, with Fib (1) = 1, Fib (2) = 1, Fib (3) = 2,…

Q: A combination lock uses three numbers between 1 and 36 with repetition, and they must be selected in…

A: 1.) Here, three numbers are used between 1 to 36 with repetitions. The all possible ways in which a…

Q: How many different seven-letter sequences can be formed from the letters a, a, a, a, a, b, c?

A: Among a, a, a, a, a, b, c, there are 5 a's , 1 b and 1 c If the letters were all different then we…

Q: A combination lock uses three numbers between 1 and 88 with repetition, and they must be selected in…

A: Solution: Correct option is C.

Q: In a certain state license plates are formed by choosing 2 letters followed by 4 digits where…

A:

Q: Suppose a telephone number consists of a sequence of seven digits not starting with a 0 or 1.  a.…

A: From the provided information, The telephone number consists of a sequence of seven digits. a) If…

Q: If 40 participants are randomly selected to 4 groups of 10, does the 40 comes first in the sequence:…

A: Given: If 40 participants are randomly selected to 4 groups of 10, does the 40 comes first in the…

Q: There are 15 in a declamation contest. In how many possible sequence can the contestant deliver…

A:

Q: Until recently, all area codes had a 0 or a 1 as the middle digit and the first digit could not be 0…

A: The number of ways of selecting r unique items from n unique items is given by the expression Crn.…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.