How many three-digit numbers are composed of three distinct digits such that one digit is the average of the other two? (A) 96 (B) 104 (C) 112 (D) 120 (E) 256

Q: How many two-digit numbers can be formed from the digits 2, 4 and 6 if a. no digit is repeated in…

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Q: The number of possible combinations if r objects are taken from n items is nCr =________.

A: The concept of combination is applied when following conditions are satisfied: a) Repetition is not…

Q: Algbra a contractor builds homes of 6 different models and presently has 3 lots to build on. In how…

A: We have given, a contractor can build 6 different models homes and he has 3 lots only. Therefore, 6…

Q: How many 4 digit numbers can be formed using only the digits 1, 2, 3, 4, 5,  6?

A: From the provided information, The digits are 1, 2, 3, 4, 5, 6 that is number of elements (n) = 6

Q: How many five-digit numbers are there with different digits and simultaneously: a) divisible by 4 b)…

A: For the number to be divisible by 4, the last two digits must be a multiple of 4.Hence The last two…

Q: 3. Suppose 1500 runners are in a race. How many ways could the runners finish in 1*, 2nd and 3rd…

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Q: How many ways are there to select three diamond earrings from a box of ten diamond earrings,…

A: Total diamond earrings = 10 We have to select three diamond earrings from a box. Order does not…

Q: How many four-digit even numbers can you form from the digits 1, 2, 3 and 4?

A: We have to find the number of four-digit even numbers formed from the digits 1, 2, 3 and 4. Then we…

Q: How many 3-digit numbers can be formed from the digits 2, 3, 4, 6, 7 without repetitions?

A: From the provided information, The digits are as follow: 2, 3, 4, 6, 7 Total numbers = 5

Q: How many different two-digit numbers can you form using the digits 3, 8, 7, 4, 1, and 5 without…

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Q: 7. Find the sum of the numbers between 1 and 25 which are divisible by 3.

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Q: A trade union asks its members to select 4 people, from a slate of 9, to serve as representatives at…

A: Given : A trade union asks its members to select 4 people from slate of 9. To find : How many…

Q: How many integers will there be on the number line between the numbers 2.09 and 15.3?

A: There will be 13 integers between 2.09 and 15.3 on the number line.

Q: A baseball manager has 12 players on his team but only nine players can play on the field at one…

A: Given that the baseball manager has 12 players on his team but only nine players can play on the…

Q: How many odd three digit number can be written using the digits 2, 3, 4, 5, and 6?

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Q: Q3/ How many three digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 such…

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Q: What Proportion of Adults and Teens Text Message? A study of n = 2252 adults age 18 or older found…

A: Here, the sample of adults age 18 or older is the first sample. The proportion of sample 1, p^1=0.72…

Q: How many 5 digit even numbers can you form using all of the digits 1, 2, 3, 3, 5?

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Q: How many numbers between 1 and 1000 are divisible by 12 or 15, or both 12 and 15?

A: We need to find how many numbers between 1 and 1000 are divisible by 12 or 15, or both 12 and 15. To…

Q: How many ways are there to choose a dozen donuts from 18 varieties if there are only two varieties…

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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 five​-digit numbers can be formed with the first two digits odd and the last three digits…

A: The number of digits need to be formed is five. The first two digits are odd and the last three…

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

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Q: How many different three-digit numbers can be formed using the digits 1, 5, 9, 7, 4, 8, and 6…

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Q: How many three – digit numbers greater than 300 can be formed with the digits 1, 2, 3, 4 and 5 if no…

A: According to the provided information, The digits are 1, 2, 3, 4, 5 and no repetitions are allowed?…

Q: How many positive numbers less than 300 are divisible by 7 but not 5?

A: We need to find positive numbers less than 300 that are divisible by 7 but not by 5. First count the…

Q: What is the sum of the first 100 nonnegative integers?

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Q: How many combinations are possible? assume the Items are distinct. 5 items chosen 2 at a time

A: C(n,r) = n! /{r! (n-r)!}

Q: How many three-digit numbers can be formed from the digits 1, 2, 3, 4, and 5 if repetitions(a) are…

A: To find number of three-digit numbers can be formed from the digits 1, 2, 3, 4 and 5. (a) If…

Q: How many three-digit numbers is there such that when the middle digit is removed they become a…

A: Let the three digit number be xyz. then on removing the middle digit, the two digit number will…

Q: 8. The captain of a baseball team assigns himself to the 6th place in the batting order. In how many…

A: When you arranging elements (r) from orders list (n), Permutation is a matter of orders while, the…

Q: 1. How many numbers between 1000 and 2500 are: a. Divisible by 3? b. Divisible by 7? C. Divisible by…

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Q: How many different three-digit numbers can be formed using the digits 1, 4, 5, and 9 without…

A: Given N=4 n=3

Q: How many four digits numbers can be formed from the digits 1 2 3 4 5 6 7 if repetition is not…

A: We have to make four digit numbers without repetition. Here we have 7 digits (1,2,3,4,5,6,7) and we…

Q: An employee at a store is going to display 9 scented candles in a row on a shelf. He will put one of…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Q: How many numbers between 100 and 999 (inclusive) are divisible by neither 4 nor 5?

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Q: .76 How many six-digit numbers with different digits belonging to the set ${0,1,2,3,4,5,5}$ and…

A: 6 digit forming a 6 digit number  The total number of 6 digit different numbers = 6!-5! = 720-120 =…

Q: How many four-digit odd numbers less than 6000 can be formed using the digits 2, 4, 6, 7, 8, and 9?

A: Consider the given situation in the problem, we have four groups in which we have to make choice to…

Q: If n EN and n < 2000, how many numbersn have the property that the sum of the digits of n and the…

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Q: How many different 3-digit numbers can be formed with the digits 1, 2, 4, 6, and 8? How many of them…

A: When the digits are not repeated: The given digits are 1,2,4,6 and 8 The number of digits is 5. The…

Q: How many different numbers which contain from four digits or fewer can be formed from the digits A,…

A: Digits can be taken with replacement   Given are 5 letters:   A,B,C,D,E AB&lt;4   and C,D,E &gt;=4…

Q: 6. From the digits 0, 1, 2, 3, 4, 5 and 6, how many three digits numbers can be performed if no…

A: Given digits are : 0,1,2,3,4,5,6 Total = 7 digits

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

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Q: 3. Copy Central prints black and white or colored copies. Yesterday, they printed 9 black and white…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: D. Using the digits 2, 4, 6, 7 and 9, how many five-digit numbers can be formed if the number is…

A: To solve:Using the digits 2, 4, 6, 7 and 9, how many five-digit numbers can be formed if the number…

Q: What is the sum of the first 9,000 positive integers

A: topic - arithmetic sequence answer is 40504500

Q: How many even three digits numbers can be formed from the digits 3,2,5,6 and 9if each digit can be…

A: We have to make three digit even number which means that last digit should be even number. Here,…

Q: How many 3-digit numbers with no repeated digits using 4, 5, 6, 7, 8 can be a. less than 520? b.…

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Q: How many two digit numbers can be formed from the digits 1, 3, 7 and 9 when the digits are: (a) not…

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