2) Find the number of distinguishable permutations of the digits of the number 911 912 271. 3) In how many ways can 4 Math books, 3 Science books, 2 Filipino books, and 1 English book be arranged on a shelf?

Q: How many different numbers can be formed by various arrangements of the six digits 1, 1, 1, 1, 2, 3

A: Please refer to the solution in next step.

Q: Find the number of ways to put eight different books in five boxes, if no box is allowed to be…

A:

Q: How many 4-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetition of digits…

A: In this question, concept of combination is applied. Combination A combination is a mathematical…

Q: How many 6-digit positive integers are divisible by 3 but not by 9 or by 10?

A: Sol:- For a number to be divisible by 3, the sum of its digits must be divisible by 3. Let's…

Q: any permutations of the letters can be made from the word COCONUT? (Don't Hand writing in solution

A:

Q: How many ways can you arrange all the

A: here in word "COVID" total 5 letters  2 are vowel I,O

Q: How many different 4 digit numbers can be formed using only the digits 3, 5, 7 and/or 9, if each…

A: It is required to find the number of different 4 digit numbers that can be formed using only the…

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: In how many ways can you arrange 5 distinct maths books, 4 distinct computing books and 3 distinct…

A: Given  5 distinct maths book, 4 distinct computing books and 3 distinct physics book

Q: How many ways to arrange 5 books on the shelf exist if two definite books are not placed together.

A:

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: If repetitions are not permitted, how many 3-digit even numbers can be performed from the six digits…

A:

Q: How many different numbers with nonrepeating digits from 4000 to 6000 can be produced using the…

A: The problem can be solved using the concept of permutation and combination.

Q: How many different three-letter codes can be made from the letters {a,b,c,d,e}? How many of them…

A:

Q: A four-digit number is to be formed from the digits 0, 1, 2, 3, 5, 7, 8, and 9. How many four-digit…

A: Given,digits is 0,1,2,3,5,7,8,9

Q: how many 7 digit phone numbers can be formed in an area code, if the symbols 0 and 1 can not be used…

A: We consider that each digit is selected independently of the others. The first digit can be any of…

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

A:

Q: How many whole numbers are there with exactly 5 digits that can be written using only the digits 8…

A: no. of whole number possible with exactly 5 digits from digits 8 and 9 = ?

Q: In how many distinct ways can a 18-digit number be made using nine 9's and nine 9's?

A: We have to find the distinct ways a 18-digit number be made using nine 9's and nine 9's.

Q: How many ways to arrange 7 books on the shelf exist if two definite books are not placed together?

A:

Q: HURONTARIO be arranged

A: Total number of letters=10 Repeated letters:R=repeated twice, i.e, 2O=repeated twice, i.e, 2

Q: How many different 3-digit numbers are possible using only the digits 2,3,5,6 ?

A:

Q: How many different five letter “words” can be made out of the letters in the word world?

A:

Q: How many different 10-letter codes can be made using three a’s, four b’s, and three  c’s?

A:

Q: Without using a calculator, test for 60,330 for divisibility by 2, 3, 4, 5, 6, 8, 9, 10, and 11 Is…

A:

Q: How many different numbers can be formed using all the digits of 3 334 777?

A:

Q: How many different ways can 6 different pencils be given to 3 students (each student will receive at…

A:

Q: Suppose a 4-digit number will be formed from numbers 0,1,2,3,4,5,6,7,8, where each digit can only be…

A: Given, 4 digited numbers are to be formed from 0,1,2,....,8 without repetition. These numbers must…