(DO NOT use any other symbol except numbers in the answer slot ) There are 10 digits 0,1,2,3,4,5,6,7,8,9.[The answers of the following questions are integers.Put the an space,decimal points,comma etc] i. How many valid 4-digit numbers can be formed using these 10 digits where the same digit can ap is NOT a valid 4-digit number]

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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(DO NOT use any other symbol except numbers in the answer slot )
There are 10 digits 0,1,2,3,4,5,6,7,8,9.[The answers of the following questions are integers.Put the answer only.Don't use
space,decimal points,comma etc]
i. How many valid 4-digit numbers can be formed using these 10 digits where the same digit can appear multiple times? [Hint: 0875
is NOT a valid 4-digit number]
ii. How many 4-digit numbers can be formed using these 10 digits where all of the digits will be different?
ii. How many 4- digit numbers will have at least one digit that has been used multiple times?[Hint: 1234 is a number where no digit
has been used multiple times. 2234, 3333, 1211 are some examples where a digit has been used multiple times]
iv. How many 4- digit numbers will be divisible by 10 where all of the digits are different?
Transcribed Image Text:(DO NOT use any other symbol except numbers in the answer slot ) There are 10 digits 0,1,2,3,4,5,6,7,8,9.[The answers of the following questions are integers.Put the answer only.Don't use space,decimal points,comma etc] i. How many valid 4-digit numbers can be formed using these 10 digits where the same digit can appear multiple times? [Hint: 0875 is NOT a valid 4-digit number] ii. How many 4-digit numbers can be formed using these 10 digits where all of the digits will be different? ii. How many 4- digit numbers will have at least one digit that has been used multiple times?[Hint: 1234 is a number where no digit has been used multiple times. 2234, 3333, 1211 are some examples where a digit has been used multiple times] iv. How many 4- digit numbers will be divisible by 10 where all of the digits are different?
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