5. How many words from the Roman alphabet (26 letters) of length 45 have (a) No A's? (b) At least one A? (c) Exactly 3 A's? (d) Exactly 4 B's? (e) Exactly 3 A's OR exactly 4 B's? (What counting rules should you be using here?)

Q: 5. What is the order of each of the following permutations? a. (124)(357) b. (124)(3567) d.…

A:

Q: 8. Given 1, 2, 3, 4, 5, 6, 7, 0, 9, how many 4-digit numbers can be formed if it must be divisible…

A: We have to solve question number 8

Q: How many terms are there in the G.P. 3, 6, 12, 24, .... 384. '

A:

Q: 24 Evaluate the following. 5! 120 15 720

A: 24)  To evaluate: 5!

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A: Consider the provided question, Given, 4 players are playing cards. (1) The number of ways each…

Q: In Connecticut, auto license plates carry 3 digits followed by 3 letters. (Assume the first digit…

A:

Q: Approximately 20% of IU students suffer from triskaidekaphobia. IU Health offers a free screening…

A: We have to find out answer

Q: Z, N, X, X, R, V, N, X, E, H ten-letter words (real or imaginary) can be fo

A: The given data is Z,N,X,X,R,V,N,X,E,H

Q: A company has 10 different warehouses for storing their inventory. They will be storing 100…

A: Given:-             A company has 10 different warehouses for storing their inventory. They will be…

Q: How many Combinations 3-letter Possible from letters A, E, I, O, and 4?

A: Here the given letters are ,      A,E,I,O,U  So, total number of letters , n=5 Using formula ,…

Q: In how many ways can you arrange the letters of the word "MATHEMATICS" such that the vowels (A, E,…

A: The word "MATHEMATICS" has 11 letters in total: M, A, T, H, E, M, A, T, I, C, and S.Among them, the…

Q: 7. What is (54), in the Hexadecimal number system? a. (20) 16 b. (2D) 16 C. (C2) 16

A: Given: The decimal number is 54.

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 the concept of counting techniques, what will be the solution and answer #6

A: Permutations and combinations: When one has to choose among a set of objects or people, then…

Q: Sixty elephants were asked about things that they like. 30 like tigers 25 like ivory carvings 26…

A:

Q: 6. How many ways are there to arrange the letters in the following words? (a) PENCIL (b) PEPPER…

A: Solution :-

Q: Samies used cars has the cheapest prices in town! At the present time Samie has many cars for sale.…

A:

Q: How many different 10-letter words (real or imaginary) can be formed from the following letters? K,…

A: The question is about permutation Given : No. of letters in words ( n ) = 10 No. of times " K "…

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: 5. How many triangles can you make using 6 non collinear points on a plane?

A: Solution #5 Number of Triangles= 20

Q: How many ways are there to arrange the letters in COMPANIES? (a) with vowels in alphabetical order?…

A: a) There are total number of ways to arrange letters in alphabetical order is 9!. Here four vowels…

Q: In how many ways can you select three books to read from a shelf of eight books? (Order is…

A: We have find order matter..

Q: The National Centre for Health Statistics reported that of every 883 deaths in recent years, 24…

A: The objective of the question is to find out the probability that a particular death is due to an…

Q: In how many distinct ways can a 11​-digit number be made using five 6​'s and six 5​'s?

A: To find- Ways by which 11 digit number be made.

Q: n how many different ways can you order three dozen donuts if there must be at least 2 chocolate…

A: 10 different types of donuts No of ways, We can order 3 dozen donuts.

Q: How many ways are there of arranging the 26 letters of the alphabet so that none of the words be,…

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Q: How many different 10-letter words (real or imaginary) can be formed from the following letters? N,…

A: Given letters areN , I, R, E, C, Q, I, R, Y, Fletter 'I' is repeated 2 timesletter 'R' is repeated 2…

Q: The probability a student has blue eyes is p. Five students are selected at random. Write down, in…

A: It was stated that the probability that a student has blue eyes is p. Five students are selected at…

Q: In Morse code, symbols are represented by variable-length sequences of dots and dashes. (For…

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Q: fill in the blanks counting by 2's 5's and 10's what is 422, _, _, _, _, _, _, _, _, _, _, _, _,…

A: According to the given information it is required to fill in the blanks

Q: 1 A = then IAll2 = (use 2-digit rounding) -3 2 Select one: а. 3.83 b. 5.41 c. 14.66 d. 29.31

A:

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

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Q: calculates

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Q: m how many distinc ways can the letter of the word MAMAS be arranged?

A: To find the number of distinct ways the letters of the word MAMAS be arranged: If we had 5 unique…

Q: Using the concept of counting techniques, what will be the solution and answer #4

A: Permutations and combinations: When one has to choose among a set of objects or people, then…