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: How many ways can a deck of cards be drawn by shapes one by one up to the last card Note: There are…

A: As per given by the question, There are given 52 cards in a deck and find that How many ways can a…

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: How many ways can nine different books be arranged on a shelf? There are _____ ways to arrange the…

A: To find How many ways can nine different books be arranged on a shelf?

Q: (п - 2)! n! 56

A: Given- n-2!n!=156 To find- The value of n. Concept Used- r!=rr-1r-2r-3........2·1.

Q: 2. 6n - 1 is divisible by 5 for n any positive integer

A:

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

A:

Q: In how many different ways can a 4-child family have 2 boys and 2 girls?

A: To determine: Ways can a 4-child family have 2 boys and 2 girls.

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: Some of these are permutations and some aren’t exactly. You don’t need to find the answer, you just…

A: Permutations: By permutation, we mean to arrange the objects in order. In permutation, the order of…

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: c) Suppose that 20 students take your discrete math final. The test is worth 150 points, so possible…

A: Given that 20 students take discrete math final. The test is worth 150 points, so possible scores…

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

A: The given word is ‘mount’.

Q: How many different three digit numbers can be made from the set of integers {1,2,3,4,5,6,7,8,9} if…

A: The set of integers {1,2,3,4,5,6,7,8,9}

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 a DVD collection of 12 different movies be arranged in alphabetical order on a…

A:

Q: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, and 9, which are divisible by 5,…

A: Given information- We have given the digits- 2, 3, 5, 6, and 9. We have to form the 3 digits numbers…

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: How many integers in {1, 2,..., 100} are not divisible by 7 or 5? (Give the exact number)

A: Find the number of integers in 1,2,...,100 which are not divisible by 7 or 5.

Q: How many permutations of the numbers (1, 2, 3, 4, 5, 6, 7, 8, 9} have the numbers 4, 5 and 6 in…

A: So, the numbers 4, 5 & 6 should remain at their natural position and the other numbers can…

Q: How many combinations of 7 items from a total of 10 items would there be? 10! 3! 10! 3!7! 7! 3!10!…

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: How many 4-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetitions are not…

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: How many permutations can be made out of the letters in the word CAROLINE taken 4 at a time?

A: There are 8 letters in the word CAROLINE. We can take 4 letters from 8 letters in 8P4=8!(8-4)!=1680…

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

A:

Q: How many 4 letter words can be created using the letters in the word COMPLICATED?

A: Since you have submitted two questions, we'll answer the first question. For the second question…

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: that if 3 divides the sum of the digits of n, then 3|n

A:

Q: What is the number of different permutations consisting of 3 letters each that can be formed from…

A: The no. of permutations possible for elements from available  elements is given as:. Where  and .

Q: P(2 ≤X<5) P(8 < X < 12) Find the cumulative distribution

A: Given that Suppose that f(x) = e¯(x − 4) for 4 &lt; x. We have to find a...P(2&lt;X&lt;5)…

Q: Evaluate. (a) - 73 (b) ( – 7)3

A: Given query is to find the value of the expression.

Q: nations of three lette

A: The three letters are given C,O,Y . To determine the combination of three letters taken 1, 2 ,3 at a…