Given a set of letters X = T, S, U (i) show all possible arrangements of the letters and (ii) count the number of arrangements after identifying the associated case or formula to arrange two letters (r = 2) out of three (n = 3) when: (a) Order matters and repetition is allowed (b) Order matters, but repetition is not allowed (c) Order does not matter, but repetition is allowed (d) Order does not matter, and repetition is not allowed

Q: In the following, state whether A = B or not:(i) A = { a, b, c, d } B = { d, c, b, a }(ii) A = { 4,…

A:

Q: How many numbers of four digits can be formed with the digits 0, 1, 2, 3 (repetition of digits being…

A:

Q: Q1 (b): If Xi= 1,3,5,7,9,11 and Yi= 0,2,4,6,8,10. The values of the :following term is i=n 2n – 3…

A: Given,∑i=1i=n2n-3πyi-11+xii-1here n=6

Q: How many possible ways to make change for 25 cents using dimes, nickels, and pennies?

A: Given d is dime, n is nickels and p is penny. And 1d=10 cents,1 nickels=5 cents1 penny=1 cents

Q: Using the digits 0,1,2,....8,9 determine how many of each type of the three-digit number can be…

A: Given digits 0, 1, 2, ............., 8, 9 Any three digit number with zero at its first place…

Q: Find n(A) for the following set: b) A = { {0}, {1,2}, {3,4,5} }

A: Consider the given set A = {{0}, {1,2}, {3,4,5}}.

Q: Brittany and four of her friends want to join a softball league. The league requires teams to have…

A:

Q: In how many ways can we compose a word of 3 letters from the set {X, Y, Z, F, S} if repetition is…

A: Given, Letter set  = {X, Y, Z, F, S}  words should be 3 letters,

Q: Using only the letters a, b, c, and d, determine how many of the following can be obtained: (a)…

A: Given: that letters a,b,c and dTo find : Ordered tuples

Q: Which of the following is the correct way to evaluate the following? -3-2 O(-3)(-3) = 9 O (1/3)(1/3)…

A:

Q: (b) How many three digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7 and 8 such…

A: Given Digits: 0,1,2,3,4,5,6,7 & 8

Q: Use the variation of parameters formula to find a general solution of the system x'(t) = Ax(t) +…

A:

Q: Evaluate. (a) (– 6)2 (b) -6

A:

Q: How many different ways can the letters of "jogging" be arranged? The number of different ways that…

A: The word “jogging” contains a total of 7 letters in which “g” letter is repeated 3 times.

Q: How many arrangements are there for the letters of the word "PIKACHU" with the CH together in the…

A:

Q: SR | |1 how many ways the letters of the word “BYTEDANCE™ can be arranged if two E always come…

A: Given word is "BYTEDANCE"letter "E" is repeated 2 timestotal no.of letters=9

Q: (i) Only Palio (iv) Palio and Chevlot but not Matiz

A:

Q: Determine the number of arrangements of 3 or 4 toys taken from a basket of 10 different toys? O 10…

A:

Q: Simplification of the boolean expression (A+B+C)(D+E)'+(A+B+C)(D+E) yields which results

A:

Q: Find the following The Number of ways to choose 2 out of 4 things (order does not matter) (a) .The…

A: From the provided information, The number of ways to choose 2 out of 4 things need to be calculated.

Q: Given: B = (xI20 < x < 50 and x is divisible by 7 }, find n(B). a. 30 b. 20 c. 10 d. 5

A:

Q: A supplier of ballpoint pens guarantees a low defective rate.  Sara receives a shipment of 400 pens…

A: Ww hvae to find values of x ..

Q: Find the which value of n for where vin)' is the divisors ofn Smallest vin) =6 number of positive

A: The given problem is related to number theory. Here, we have to find the smallest value of n for…

Q: is possible equation of classes:  Select one or more than one:  a.

A:

Q: Six men and seven women enter a classroom. There are chairs numbered one through thirteen along the…

A: Given that, Six men and seven women enter a classroom. There are chairs numbered one through…

Q: A manager wants to award prizes for 1", 2nd and 3rd to his team members according to number of new…

A:

Q: There are 10 questions in a final ėxamination for Discrete Mathematics. Each question is assigned at…

A:

Q: The 68 students in a classical music lecture class were polled, with the results that 36 like…

A:

Q: Find P(AorB) if P(A)=0.3, P(B)=0.5 and A and B are independent

A: P(A) = 0.3 P(B) = 0.5

Q: How many six-lettered words starting with the letter T can be made from all the letters of the word…

A:

Q: How many numbers of four digits can be formed with the digits 0, 1, 2, 3 (repetition of digits is…

A: The digits given are 0,1,2 and 3.Here the repetition of digits is not allowed.We need to find the…

Q: 1. Which of the following shows and EQUIVALENT expression to 3 (4+6)? HINT: remember the chairs and…

A: a(b+c) = a(b) + a(c) a is the common number.

Q: The stem-and-leaf display below gives the number of minutes that customers waited for their orders…

A: ( a ) Ranges = ? ( b) greater Median  restaurant is ? (c) More wait time from 40 to 49 minutes

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.