There are 26 letters in the alphabet. How many are there of each of the following? (a) Sequences of letters of length 5? (b) Sequences of letters of length 5, with no repeated letters? (c) Sets of letters of size 5?

Q: How many ordered triples of letters are there taken from the letters A, T, C, and G?

A: given letters: A,T,C and Gtotal number of letters = 4

Q: Here are the first three stages of a sequence of dots. If we drew each of the first 15 stages, how…

A: The objective of the question is to find the total number of dots in the first 15 stages of a…

Q: In how many ways can you select two books to read from a shelf of ten books? (Order is important.)

A: Given thatr = 2 n = 10

Q: low many different sequences of 4 digits are possible if the first digit must be 3, 4, or 5 and if…

A: To find the number of different sequences of 4 digits following the given conditions, we can…

Q: Think about the three-digit numbers that can be formed from the digits 1, 2, 3, 4 and 5 without…

A: Solution

Q: Assume that you select digits from the set {1,2,3,4,5,7,8} to form a number between 10 and 800. (1)…

A: given set of digits is  {1,2,3,4,5,7,8}  and the range of numbers is 10 to 800. There would be 2…

Q: In how many ways can 5 persons be seated in a room where there are 10 seats?

A: We have to find number of ways to seat people in room.

Q: (b) All the letters of the word COMBINATION are to be arranged in a row. i. Find the number of…

A:

Q: How many ways can all the etters in the word EDUCATION can be arranged if all the vowels are right…

A: The word education has 9 letters in which 'AEIOU69f4fc43-162e-4e8b-82a6-efea9c821b47' are vowels.…

Q: There are 1/8 blue balls, 1/4 green balls, 1/12 red balls and there are 26 white balls. How many…

A:

Q: How many different ways can 5 brands of soda be displayed on a supermarket's shelf, one at a time in…

A: Given Information: 5 brands of soda are to be displayed on a supermarket's shelf.  It is needed to…

Q: Using the set {1,3,4,6,7,8,9}, how many odd numbers can we construct between 100-999 if no element…

A: An odd number is determined by the unit digit. If the unit digit is an odd number, then the number…

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 ordered sequences are possible that contain eleven objects chosen from thirteen? ordered…

A:

Q: How many different three-digit numbers can be formed using the digits 1, 5, 9, 7, 4, 8, and 6…

A:

Q: How many choices are there for a person to check out 4 CDs from a library that has 20 CDs of his…

A: Given : n = 20 x = 4

Q: How many four-digit numbers can be formed from the digit 0, 1, 2, 3, 4,5, 6, 7, 8 ,9 if each digit…

A: here available digits are 0, 1, 2, 3, 4,5, 6, 7, 8 ,9 so total 10 digits available here each digit…

Q: How many ways can n different flags be flown on m flag poles in a row if any number of flags may be…

A: Given ,Total no. Of flag = n No.of flag poles in a row = we have to find the ways can n…

Q: How many ways are there in choosing (55+1) face mask  from a box of  (55+3) face masks?

A: From the given information, choosing (55+1=56) face mask  from a box of  (55+3=58) face masks.…

Q: Which notation expresses the number of permutations of 9 items taken 6 at a​ time

A: Number of permutations of n items taken r at a time is given by Pn, r=Prn=n!n-r!

Q: w many handshakes are required for a group of 8 people to shake everyone's hand?

A:

Q: four crayons be chosen from a bo

A: The selection of elements without arrangement can be represented by a combination of elements.…

Q: How many six-number combinations can be generated from the numbers from 1 to 42 inclusive, without…

A: Given information: A 6 number combination is to be generated. The possible numbers are selected…