. How many four-digit numbers are there with different digits and simultaneously: (a) divisible by 25 b) greater than 5238?

Q: 1. How many five-digit numbers can be formed from the digits 3, 4,5,6 and 7? a. no repetition of…

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Q: 8. How many numbers between 1 and 200 are divisible by 2 or 5?

A: The given problem is to find the how many numbers between 1 and 200 are divisible by 2 or 5.

Q: . How many are greater than 330 in a group of 3 digit numbers forme d 5 where digit (s) may be…

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Q: How many different arrangements are there for the 10 letters of the name FLORDELIZA?

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Q: Suppose that X has density fx (x) = for 0 < x < 3 (and fx (x) = 0 otherwise). and suppose that the…

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Q: 3.73 How many seven-digit numbers with different digits belonging to the set ${3,4,5,6,7,8,9}$ and…

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Q: Three-digit numbers are formed from the digits 0,1,6,7,8 and 9 if no repitition is allowed d. how…

A: The given digits are 0, 1, 6, 7, 8, and 9.

Q: ... Question 2 / (1.5 Marks) What is the number of ways that 15 people can be seated in a circle?

A: In question, We find the number of ways that 15 people can seated in a circle. The solution is…

Q: Select 8 different numbers from {1, 2, 14). Show that you can find at least three pairs of numbers…

A: To show that you can find at least three pairs of numbers with the same positive difference from the…

Q: 7. How many numbers from 1 to 600 are divisible by 3, 7, or 11? Show your work and explain in…

A: There are total 288 such numbers.

Q: 4. How many different 9-digit numbers can be formed by using the digits in the number 277,728,788?

A: Given numbers  277,728,788 Here we need to evaluate many different 9-digit numbers that can form by…

Q: 5. Find a test similar to those in the previous questions for divisibility by 99.

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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: a) in how many ways can 6 numbered books be distributed over 4 identical shelves if shelves can be…

A: To distribute n things in k places, the formula is n+k-1k-1

Q: How many integers between 1 and 822 inclusive are divisible by 5 or 3?

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Q: b) Suppose that repetition of letters is pemitted, How many 6 letter can be fomed from the letters?

A: Now we have to calculate ,how many 6 letter can be formed if repetition is permitted.

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: How many numbers between 1234 and 1234567 are of 5? multiples of 2 or multples

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Q: 1. How many license plates can made where the first character is a number from 0 to 9, followed by…

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Q: Out of 800 families with 5 children each how many would you expec to have i) 3 boys (ii ) either 2…

A: Given: Total number of families=800Number of children=n=5

Q: How many odd integers from 1,000 through 9,999 have distinct digits?

A: From 1000 to 9999 , all are 4 digited integers.  If the integer is odd then the last digit can occur…

Q: -. Is 2598 + 3 divisible by 15?

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Q: How many compositions of 75 are there into 15 odd parts (a1,..., a15)?

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Q: Q46. Identify the missing number within the series 98,94,?, 70, 38 ○ (A) 85 (B) 88 ○ (c) 89 O (D) 86…

A: The series you've provided is a sequence of numbers where each number is reduced by an incrementally…

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

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Q: C. How many 4-digits number can be formed out of 0, 1, 2, 4, 6, 8, 9 to construct an odd number with…

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Q: 11. How many 7-digit numbers are even or have exactly three digits equal to 0?

A: let X be the set of 7-digit even numbers.

Q: 1. How many numbers less than 10,000 are not multiples of 2, 3 or 5?

A: A number is said to be divisible by other number when the number can be divided equally by that…