Find the number of 4-permutations of a set of 9 objects. (select the correct answer) ○ 162 ○ 126 ○ 3042 ○ 3024

Q: Evaluate 10!/4!(10-4) Type an integer or a simplified fraction

A: It is needed to evaluated 10!/4!(10-4)!.

Q: How many integers from 1 to 700 (inclusive) are divisible by the factors of 70 greater than 1?

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Q: If mis odd, then m3 - mis divisible by 3.

A: We will check this for m=1 first  0 is divisible  by 3.

Q: Any whole number is divisible by 3 if and only if the sum of its digits is divisible by 3 TRUE FALSE

A: We have to state that the given statement is true or false.   Any whole number is divisible by 3 if…

Q: How many natural numbers that are less or equal to 1000 and that are not multiples of 3, 5, or 7…

A: A number is said to be divisible by other number if on dividing the number  with it given remainder…

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

A: Given digits, 9, 6,7,8,5 and 4 Total numbers of given digits = 6

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 integers between 1 and 822 inclusive are divisible by 5 or 3?

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Q: How many even 4-digit numbers can be formed from the digits 1, 2, 6, 7, and 9 with no repetitions…

A: There is no repetition allowed.. At unit place we have two choices 2 or 6 In 10th place we have…

Q: 1+1+5215+5102

A:

Q: s0. pla-53<za-06)

A: Let Z be the random variable from standard normal distribution with mean = 0 and standard deviation…

Q: noosing a positive integer from 100 to 999, what is the poSSibility of choosing a positive integer…

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: 28. What is the value being displayed by the abacus. I mot gaitisi2 moterye

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Q: Prove a number is divisible by 3 if and only if the sum of its digits is divisible by 3.

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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: How many integers between 100 and 999 inclusive are multiples of 13?

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Q: Show that given any set of 5 natural numbers, there are 3 numbers whose sum is divisible by 3.

A: Let q∈N. Note that, for every q there exists some x∈N and some v∈0,1,2 such that q=3x+v. Now, let…

Q: How many distinct four-digit integers can one make from the digits 1,3,3,7,7, and 8?

A: How many distinct four-digit integers can one make from the digits 1,3,3,7,7, and 8?

Q: Define circular permutation. Write the formula to find the circular permutation of “X” different…

A: Permutation and combination are 2 methods in mathematics. Permutation deals with the number of ways…

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: 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: Evaluate  1/2 + 1/4 + 1/8 + 1/16 + ... + 1/1024

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Q: Let ß = (1,3,5,7,9,8,6)(2,4,10). What is the smallest positive integern for which ßn = ß-5?

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Q: Show what the divisors of 120 are and what they add up to.

A: Divisors of 120=1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

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)…