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

Q: 15. Evaluate Σ n=1 5" +3" 8"

A: Solution :- ∑n=1∞ 5n+3n8nApply the fraction rule:  a± bc=ac±bc5n+3n8n=5n8n+3n8n=5n8n+3n8nApply…

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: first digit of the phone number can not be a U?

A: Given 10 digit phone numbers are there in Montana with an area code of 406 the first digit of the…

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: In how many ways can 10 people be seated in 10 adjacent seats in a theater?

A: Given: In how many ways can 10 people be seated in 10 adjacent seats in a theater. We need to…

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: In a school picnic, a total of 43 students brought a backpack, a lunchbox, or both a backpack and a…

A:

Q: 1. How many numbers between 500 and 2100 are: a. Divisible by 3? b. Divisible by 5? c. Divisible by…

A: We are entitled to solve only 3 subparts of a questions so, I am providing you the same. Kindly…

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: Complete the expanded notation for 48,765. 48,765 = ( |x 10,000) +

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Q: If t = 12, then Y12 = 4, 727, 272e (In 1.17 10 12 5,707, 340

A:

Q: 3. Two-digit numbers are formed, with replacement, from the digits 0-9. a. How many two-digit…

A: Answer - Two -digit number are formed , with replacement, from the digits 0-9.

Q: 3. Find the number of integers between 1 and 10,000 inclusive that are not divisible by 4 or 6 or 9.

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

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Q: How many numbers between 3000 and 4000, with distinct digits, can be formed using the    digits 1,…

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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: How many six-digit numbers can be formed with the numbers 0, 0, 1, 1, 2 and 2? (Note that a…

A: Given, Numbers - 0,0,1,1,2,2

Q: Find the total number of different permutation of the letter of the word VACCINATION(show solution)

A: Note- Since you have posted multiple questions, as per our guidelines we are supposed to answer only…

Q: 1. Hexadecimal numbers are made using the sixteen digits 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F. a. How…

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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: 914 16 9 니 |6 8. 1. 8. 1. 7 2/8 丁。

A: The combinations of numbers given in the first set are 9 4 61 8 12 1 19 1 24 8 16 1 12 8 69 8 1 Out…

Q: How many prime numbers are there between 200 and 210?  a. none  b. three  c. one  d. two

A: numbers between 200 and 210 are  201, 202,203,204,205,206,207,208 and 209 Prime number are the…

Q: How many 3-digit numbers with digits in {1,..., 9} (repeats allowed) are divisible by 9?

A: Given digits are 1,2,3,4,5,6,7,8,9. Make three digit numbers using the given digits. To find: The…