How many distinct permutations can be formed using all the letters of the word MATHEMATICS? 11! 2!+2!+2! 11! 212!2! 11! 6! O 11!

Q: 4. How many subsets are there of {1, 2, 3, 4, 5}? How many contain at least three elements? How many…

A: Given set is S=1,2,3,4,5 Since we know that, if a set contains n elements, then total number of…

Q: FACTORIAL The number of different ways to arrange n objects is given by n!= nx (n-1)x(n-2)x...x3x2x1…

A: Given: The number of different ways to arrange n objects is given by  n! = n×n-1×n-2×...×3×2×1

Q: How many ways can you get a four of a kind in a five card hand? Four of a kind is where you receive…

A: The number of ways to get a four of a kind in a five card hand is,

Q: In how many different ways can you arrange the letters of the word NONSENSE if the first letter and…

A:

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

A: Any number which has 0 or 5 in the unit place is divisible by 5.  Case 1: when unit digit is 0 The…

Q: Determine the number of distinguishable permutations of 10 objects where object A occurs 2 times,…

A: Determine the number of distinguishable permutations of 10 objects where object A occurs 2 times,…

Q: In how many ways can 4 different IT books, 2 different mathematics books, and 1 biology book be…

A: The objective of this question is to find the number of ways the books can be arranged on a…

Q: In how many ways can the world " mount " be arranged

A: The given word is ‘mount’.

Q: A club at school is having a fundraiser. The club has 7 members, and 3 volunteers are needed to help…

A: Here, we have to obtain the required premutation and combination results. The permutation is used to…

Q: A sports team has a record of 10 wins, 6 losses, and 1 tie. In how many ways can this record occur?…

A: The number of wins is 10.

Q: How many ways can 120 unique packages be loaded into 10 delivery trucks where each truck must have…

A: 120 distinct packages have to be distributed equally among the 10 trucks.

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: find the number of permutations of the letters of the word MATHEMATICS find the number of…

A: Given wordMATHEMATICSIt consists of 2 M's, 2 A's, 2 T's, 1 H, 1 E, 1 I, 1 C and 1 S.The number of…

Q: How many ways can you draw a 5 card hand from a deck of cards if 2 cards are red and 3 cards are…

A: In this solution we will discuss the total number of ways to to draw 5 card from a deck of cards if…

Q: Select the correct choice that completes the sentence below. The formula for the number of…

A: We want tell you which one is the correct choice.

Q: Bob owns 13 different books. He wants to pick out and arrange 5 of these books left-to-right on a…

A:

Q: How many integers in {1,2, 3, ..., 99, 100} are not divisible by 7? (Give the exact number)

A: The given set of numbers is, 1,2,3,.....,99,100 The total no.of numbers from 1 to 100 is, 100 The…

Q: Let ?={1,2,3,4,5,6}. How many subsets of ?A contain an even number of elements? (How would you…

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Q: Powerball numbers are drawn from two sets of numbers. Five numbers are drawn from one set of 69…

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Q: A student enrolling in college can select one of 6 different math classes, one of 3 different…

A: Given that a student enrolling in college can select one of 6 different math classes, one of 3…

Q: 22*33+(15-5)*3

A: Given:   To simplify: The given expression.

Q: How many different 4-letter words are possible using the letters of the word BOOK? Group of answer…

A: According to the provided information, The 4-letter word is BOOK

Q: ❎❎♦️♦️♦️✅✅❎♦️

A:

Q: The raffle tickets that are sold at a sporting event have 6 numbers. Each of the 6 numbers is…

A: The raffle tickets that are sold at a sporting event have  numbers. Each of the numbers is…

Q: How many different 7-letter words can be formed using the letters in the word "COOKIES" ? А) 2х 6!…

A: The number of r letter word that can be made from n letters where x of them are the same(repeated)…

Q: A salesperson wants to display four bracelets in the store window. There are a total of eight…

A: Total number of different bracelets=8 We have to choos 4 different from 8 bracelets