How many different tests each with 15 questions can be constructed from a test blank containing 32 questions?

Q: How many three numbers with no repeated digits, can be formed by the use of the digits 0, 2, 3, 4,…

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Q: How many numbers of four different digits each greater than 5000 can be formed from the digits 1, 2,…

A: Answer - How many numbers of four different digits each greater than 5000 can be formed from the…

Q: How many 4-digit combinations can be made from the digits 0-9?

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Q: How many 6 digit telephone numbers can be formed if each number starts with 23 and no digit appears…

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Q: How many 4 digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit can be…

A: The given digits are 0, 1, 2, 3, 4, 5, 6 4-digit numbers are formed using these numbers.

Q: How many 6 digit telephone numbers can be formed if each number starts with 35 and no digit appears…

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Q: A store sells 8 kinds of balloons with at least 30 of each kind. How many different combinations of…

A: 8 kinds of balloons with at least 30 of each kind We have to find how many different combinations of…

Q: How many four-digit numbers can be formed from the digits 0, 1, 2, 3, 4, and 5 if each digit can be…

A: given digits;  0, 1, 2, 3, 4, and 5 total number of digits = 6 number of four-digits numbers can be…

Q: How many four letter words beginning and ending with a vowel without any letter repeated can be…

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Q: a) How many three-digit numbers less than 700 can be made using the digits 9, 7, 4, and 2? (Each…

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Q: How many seven digit telephone numbers are possible if the first two digits cannot be twos or zeros?

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Q: How many 4 digit numbers can be formed from the digits 0,1,2,3,4,5, and 6 if each digit can be used…

A: 1. we will first find how many 4 digits numbers can be formed. To formed 4 digit numbers from…

Q: How many 3-digit numbers can be formed that are greater than 5 hundred and whose last digit is…

A: Given conditions: 3-digit number greater than 500 Last digit is a 3 or 9

Q: How many numbers consisting of 5 digits can be made from 1,2,3,4,5,6,7,8,9?

A: How many numbers consisting of 5 digits can be made from 1,2,3,4,5,6,7,8,9?

Q: A four-person committee is to be elected from an organization's membership of 11 people. How many…

A: Formula used:  nCr=n!(n-r)!r!

Q: An exam  is made up of  hundred true or false questions. How many different ways can a student…

A: The number of permutations of n  objects taken r at a time when repetition of objects is allowed is…

Q: How many four-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5 and 7 if each digit can…

A: i) Since we need a four-digit number, the first digit can never be zero. Thus, the number of ways to…

Q: From a list of 34 captains, 6 are to be promoted to major. In how many ways can this be done?

A: To write that in how many ways it can be done

Q: How many numbers consisting of five different digits can be made from the digits (0, 1 , 2, 3, 4, 5,…

A: ConceptPermutation = n!/(n-r)!Given digits are 0,1,2,3,4,5,6,7,8,9

Q: How many three-digit numbers can be formed from the digits 1, 2, 3, 5, and 6, if each digit can be…

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Q: How many odd 4-digit numbers greater than 3000 can be formed from the digits 1, 5, 6, 7, 8 if no…

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Q: A four-person committee is to be selected from an organization’s membership of 12 people.  How many…

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

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Q: How many six digit numbers can be formed with no repetitions?

A: We can use all the 6 digits without repetition A 6 digit number cannot have  0 in the first place.…

Q: A. How many 3 digit numbers greater than 200 can be made from 0,1,2,3,4,5 if repetition of digits is…

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Q: 1) How many different words (including nonsense words) can you make by rearranging the letters of…

A: The given word is EFFERVESCENCE. Total number of letters = 13 In the given word, letter E is…

Q: How many seven-digit numbers can be made from the digits 1 to 9 if repetition is allowed?

A: Given that  To find the number of ways of 7 digit number can be made from the 1 to 9

Q: 2. If a license plate consist of 3 letters followed by 3 digits, how many license plates are…

A: Here the repetition of letters and numbers are allowed.

Q: How many 4-digit numbers can be formed from 1,2,3,4 and 5 if no digit is repeated?

A: Given digits 1,2,3,4,5 Repeatation not allowed

Q: How many numbers less than 7000, with no repeated digits can be formed by the use of digits…

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

Q: How many combinations are there of 26 letters taken items taken 2 at a time ?

A: The number of combinations  = nCr n : number of options available r : number of options to be…

Q: How many 3 digit numbers can be formed from the digits 2, 4, 6, 8 and 9 if repetitions are allowed?

A: Solution: From the given information, the digits are 2, 4, 6, 8 and 9.

Q: How many combinations of three-digit numbers are possible with digits 2,4,6?

A: Given three digits are : 2 , 4  and 6 .  Combination of digits : _ _ _ (three places)  For the first…

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: Six numbered marbles are to be placed into three bags so that there are two marbles in each bag. How…

A: We have given that There are six marble into  We have to place it into 3 bag

Q: A particular brand of shirt comes in 12 colors, has a male version and a female version, and comes…

A: Here , particular brand of shirt comes in 12 colors. It has female version and male version. And it…

Q: How many different license plates are possible if 2 uppercase letters are followed by 4 digits and…

A: A number plate consist of 2 uppercase letters followed by 4 digits, in which first digit cannot be…

Q: How many ten-digit telephone numbers are possible if the first three digits must all be different?

A: Given,total no.of digits=10  (0 to 9)

Q: From a group of 20 people, 12 are selected to serve on a jury during a trial. How many different…

A: The total number of combinations possible if we select r things which are chosen at a time  from n…

Q: How many of these numbers are even from the digits 0, 1, 2, 3, 5, 7 & 9 ?

A: Here we have to find  How many of these numbers are even from the digits 0, 1, 2, 3, 5, 7 & 9 ?…

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 4-digit numbers are there that are divisible by 10 and the sum of whose digits is 10?

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Q: How many different numbers of 3 digits can be formed from the numbers 0, 1, 2, 3, 4, 5, 6 7, 8?

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Q: How many four-digit numbers can be formed from the numbers 1, 3, 4, 6, 8, and 9 if repetition of…

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Q: how many different license plates are possible if each contains four english letters followed by…

A: Here total English letter 26  And digits are 0,1,2,....9 that is total 10 digits

Q: How many ten-digit phone numbers can be formed from the digits 0,1,2,3,...,9 if the first digit may…

A: To find: No of ten-digit phone numbers can be formed from the digits 0,1,2,3,...,9 if the first…

Q: How many 5 letter "words" can be formed if exactly 2 of the letters are vowels if order is…

A: There are 5 vowels and 21 consonants. Here, the order is important.

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 four-digit numbers can be made from the digits 1 to 6 if repetition is allowed?

A: Number of four digit can be made from digits  1 to 6 :

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.