Advertisements
Advertisements
Question
How many numbers can be formed using the digits 0, 1, 2, 3, 4, 5 without repetition so that the resulting numbers are between 100 and 1000?
Advertisements
Solution
A number between 100 and 1000 is a 3 digit number and is to be formed from the digits 0, 1, 2, 3, 4, 5, without repetition of digits.
∴ 100’s place digit must be a non-zero number which can be filled in 5 ways.
10’s place digits can be filled in 5 ways.
Unit’s place digit can be filled in 4 ways.
∴ Total number of ways the number can be formed = 5 × 5 × 4 = 100
∴ 100 numbers between 100 and 1000 can be formed.
APPEARS IN
RELATED QUESTIONS
How many 4 letter words can be formed using letters in the word MADHURI if letters can be repeated?
Determine the number of arrangements of letters of the word ALGORITHM if O is the first and T is the last letter.
Find the number of 4-digit numbers that can be formed using the digits 1, 2, 4, 5, 6, 8 if digits can be repeated.
Find the number of 6-digit numbers using the digits 3, 4, 5, 6, 7, 8 without repetition. How many of these numbers are divisible by 5?
Find the number of ways in which 5 letters can be posted in 3 post boxes if any number of letters can be posted in a post box.
Find the number of ways of arranging letters of the word MATHEMATICAL. How many of these arrangements have all vowels together?
Determine the number of arrangements of letters of the word ALGORITHM if consonants are at even positions.
Find the number of ways so that letters of the word HISTORY can be arranged as Y and T are together
Find the number of ways so that letters of the word HISTORY can be arranged as Y is next to T
Find the number of ways so that letters of the word HISTORY can be arranged as begin and end with vowel
Find the number of 4-digit numbers that can be formed using the digits 1, 2, 4, 5, 6, 8 if digits can be repeated
Find the number of 4-digit numbers that can be formed using the digits 1, 2, 4, 5, 6, 8 if digits cannot be repeated
Find the number of ways in which 5 letters can be posted in 3 post boxes if any number of letters can be posted in a post box.
In how many ways can 5 different books be arranged on a shelf if there are no restrictions
In how many ways can 5 different books be arranged on a shelf if 2 books are always together
3 boys and 3 girls are to sit in a row. How many ways can this be done if there is a girl at each end
3 boys and 3 girls are to sit in a row. How many ways can this be done if all boys sit together
All the words that can be formed using alphabets A, H, L, U and R are written as in a dictionary (no alphabet is repeated). Rank of the word RAHUL is ______.
