How many 2 – digit numbers can be formed from the four integers 1, 2, 3, and 4 if repetition is allowed? If repetition is not allowed?

Q: Without repeating any digits, how many 3-digit numbers can be formed from the 5 digits {1,2,3,4,5}…

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Q: How many 4 digit numbers can be formed by the use of digits 1, 2, 3, 4, 6 and 7 if one digits is…

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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: How many different​ three-digit numbers can be formed using the digits 5, 6, 3, 1, 9, and 7…

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Q: How many 7-digit numbers can be made from the digits 1, 2, 3, 4, 5, 6, and 7 if each digit can only…

A: Digits: 1, 2, 3, 4, 5, 6, 7.

Q: A four digit number is to be formed from the digits 0, 2, 5, 7, 8. How many numbers can be formed if…

A: 4 ways to fill it (2,5,7,8) 5 ways to fill it (0,2,5,7,8) 5 ways to fill it (0,2,5,7,8) 5 ways to…

Q: Using the digitd 3, 4, 5, 6, 7, 8, and 9, how many 4-digit numbers can be constructed if the number…

A: Solution: From the given information, the digits are 3, 4, 5, 6, 7, 8 and 9. Here, the numbers with…

Q: How many four digit numbers can be formed using the digits 1, 3, 4, 5, 7,9 if repetition of digits…

A: Given digits are 1,3,4,5,7,9 Total no of digits=6 No of four digit numbers if repetition is allowed…

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 odd 4-digit numbers greater than 3000 can be formed from the digits 1, 5, 6, 7 and 8 if non…

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Q: How many 4-digit numbers can be formed from the digits 1,3,5,6, 8 and 9 if no repetition is allowed

A: Given : No. of digits (N) = 6 Digits : 1 , 3 , 5 , 6 , 8 , 9 4-digit no. can be formed i.e n = 4

Q: How many 4-digit numbers can be formed with the digits: 1,1,2,2, without allowing the repetition of…

A: Given digits is1,1,2,2

Q: How many five-digit numbers can be formed from the digits 1, 2, 4,6,8,9& 0 if digit is repeated?

A: To make a 5 digit number 0 can not come at first. So for the first position there are 6 choices. And…

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

A: To form a 3 digit number, we start we can not place 0 on hundreds position since that will make it a…

Q: How many 4 digits numbers can be formed from digits 1, 2, 3, 4 and 5 if no repetition is allowed and…

A: Answer:  48 Here we want to form a four digit number from 1,2,3,4 and 5 and number should be between…

Q: ay be formed using the digits 2, 3, 4, 6 and 9 if repetitions

A: 22,23,24,26,29,32,33,34,36,39,42,43,44,46,49,62,63,64,66,69,92,93,94,96,99. In unit digit place we…

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

A: To find the number of ways

Q: If it will be allowed to use a number repeatedly, how many 4-digit numbers can we form from the…

A: In this question we have to find how many four digit can be formed from the given numbers.

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 3-digit number can be formed from the digits 0,1,2,3  a. if no two digits are to be the…

A: * SOLUTION :-  from the given information the calculation is given below

Q: How many 4-digit numbers can you make using the digits 1-5 if repetition is allowed? *

A: We have to find the number of 4-digit numbers that can be formed using the digits 1,2,3,4,5.The…

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: Four digit numbers can be formed from the six digits 2, 3, 5, 6, 7, and 0. If repetitions are not…

A: here given , 4 digit number can be formed from the six digits 2,3,5,6,7 and 0 4 digit number can be…

Q: The number of 3-digits numbers that can be formed without repetition from the numbers 2.3.5.7 and 8…

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Q: How many 5 digit numbers can be formed if each one uses all the digits 0,1,2,3,4 without repetition?

A: We have 5 digits 0,1,2,3,4

Q: How many distinct ways are there to arrange 3 clear marbles, 4 yellow marbles, and 2 orange marbles…

A: Given problem:- How many distinct ways are there to arrange 3 clear marbles, 4 yellow marbles, and 2…

Q: How many three digit odd number can be formed using the digits 1, 2, 3, 4, 5 and 6 if repetition of…

A: According to rule of combination the number of ways to select r objects out of total n distinct…

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: How many different 5-digit odd numbers can be formed from 0, 1, 3, 4, 5, 7, and 9 if repetitions are…

A: Given:Total number of digits = 7 (0, 1, 3, 4, 5, 7, and 9 ) The divisibility rule for 5:The number…

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: 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 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 4 digit numbers can be formed by the use of digits 1,2,3,4,6,7 if one digit is used only…

A: Givenno of digits to be used is 1,2,3,4,6,7No.of digits = 6

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: How many four-digit odd numbers are possible if the leftmost digit cannot be​ zero? There are…

A: From the given information,Sample space = {0,1,2,3,4,5,6,7,8,9}It has been given that the leftmost…

Q: How many three-digit numbers can be formed using the digits 2,3,4,5,6,and 8, if the number is to be…

A: Given:  The provided digits are 2, 3, 4, 5, 6, and 8. The repetition of digits is not allowed. For a…

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 even 4 digit numbers can be formed from the digits 1, 7, 2, 4, 6, 9, 3, and 0 if the…

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Q: How many three-digit odd numbers are possible if the leftmost digit cannot be zero?

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Q: How many 7-digit numbers can be formed if repetitions are not allowed and the last number cannot be…

A: We have to find 7-digit numbers that can be formed if repetitions are not allowed and the last…

Q: How many even three-digit numbers can be formed from the digits 1,2,3,5,6,8 and 9 if each digit can…

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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: many even four-digit numbers can be formed from the digits 0, 1, 2, 5, 6, and 9 if each digit can be…

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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 three-digit numbers can be formed if only odd numbers are allowed to be re-used?

A: To find three-digit number that can be formed if only odd numbers are allowed to be re-used. Odd…

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

A: Given: n∈ℕ And n&lt;2000

Q: How many 7-digit numbers can be made from the digits 1, 2, 3, 4, 5, 6, and 7 if repetition of…

A: Answer: 823543   7-digit numbers can be made from the digits 1,2,3,4,5,6, and 7 if repetition of…