3. How many three digit numbers can be formed from the set 0, 1, 2, 3 .........9 if repetitions are not allowed and the number must be divisible by a. 10 ? b.. 25? c. even?

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: a) How many 3-digit numbers that are multiples of 5 can be formed from the six digits 2,3,5,6,7 and…

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY  HERE USE SELECTION THEORY

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 we arrange 3 boys and 3 girls in a circular table if:  All boys and girls are…

A: Given, 3 boys and 3 girls       To find, In how many ways can we arrange them if all boys and girls…

Q: In how many ways can a commitee of 9 students be chosen from 8 juniors and 10 seniors if there must…

A: Given data: 8 juniors and 10 seniors

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: n how many ways can 5 men, 4 women, and 3 children be arranged in a row of 12 seats if a. the men…

A: Given that  Number of men = 5 Number of women = 4 Number of children = 3 Number of seats in the row…

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

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Q: In how many ways can the numbers from 7 to 10 be arranged three at a time if the numbers can repeat?

A: If we have n numbers and we want to arrange k of them where the numbers can repeat, then the total…

Q: of 2 3. If you read 20 books this year, a. How many different sets of 6 books could you recommend…

A: Total number of books read this year, n = 20(a) To find the number of different sets of 6 books that…

Q: 11 If 3 then r-2 =

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Q: 3. Suppose we want to create a three-digit number. We are allowed to use the digits 0, 1, 3, 4, 6,…

A: We want to create a three digit number.   We are allowed to use the digits 0,1,3,4,6,7 and 9…

Q: 2. How many 3 element subsets of the set {a, b, c, d, e, f, g, h, i} contain no vowels?

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Q: suppose repetitions are not allowed. Find the number n of three-digit even nimbers that can be…

A: Given problem Given that   Suppose repetitions are not allowed. Given six digits : 2,3,5,6,7,9…

Q: In how many ways may Ana select 5 of her 10 friends to attend her birthday party? In how many ways…

A: Here use combination

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

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Q: In how many different ways can 9 people arrange themselves in a line to receive service from a…

A: Given information: There are total 9 people arrange themselves in a line to receive service from a…

Q: How many ways can these numbers be arranged? How many numbers greater than 4,000,000 can be formed…

A: Here use combination

Q: How many 4 digit numbers can be formed using only the numbers 3 2 7 6 0 4 9 if the number is odd and…

A: numbers: {3,2,7,6,0,4,9} make 4 digit numbers  no repeatation odd numbers: last digit must be odd.…

Q: Suppose that there is a bag containing 6 marbles. How many ways can you draw 4 marbles from the bag…

A: The bag contains =6 marbles number of marbles drawn=4

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: In how many different ways can five red flags, two white flags, and 7 blue flags be arranged in a…

A: If all the flags were distinct, each flag being a different color, there would be 14! different…

Q: how many 3-digit number we can form using 10 digits (0,1,2,3.......,8) if no repetition is allowed

A: The first digit have 9 choices (digits 1 -9) as zero cannot be the first digit.There will be 9…

Q: In a city, the bus route numbers consist of a natural number less than 100, followed one of the…

A: In a city, the bus route numbers consist of a natural number less than 100, followed one of the…

Q: s={1,2,3,4,....,15} ​A: The selected number is even. ​B: The selected number is a multiple of 4.…

A: The possible outcomes for event A are {2,4,6,8,10,12,14} i.e 7 outcomes The possible outcomes for…

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…

Q: In how many ways can 5 boys and 4 girls be arranged on a bench if there is no restriction? How about…

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Q: how many ways can 10 students be assigned to 2 triple, 1 double hotel, 2 single hotel rooms during a…

A: Total No of student=n=10 No of triple hotel rooms=2 No of double hotel rooms=1 No of single hotel…