Advertisements
Advertisements
Question
How many three-digit numbers can be formed from the digits 0, 1, 3, 5, 6 if repetitions of digits are not allowed?
Advertisements
Solution
Step 1: Choose the hundreds digit (first digit)
-
Cannot be 0.
-
From {1, 3, 5, 6} → 4 options
Step 2: Choose the tens digit (second digit)
-
One digit is already used in hundreds place.
-
Remaining digits = 4
-
But includes 0 (which is now allowed) → So 4 options
Step 3: Choose the units digit (third digit)
-
Two digits already used.
-
Remaining digits = 3 → So 3 options
Total numbers = 4 (choices for first) × 4 (second) × 3 (third)
= 48
APPEARS IN
RELATED QUESTIONS
How many three-digit numbers can be formed from the digits 0, 1, 3, 5, 6 if repetitions of digits are allowed?
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 ways letters of the word HISTORY can be arranged if Y and T are together.
Find the number of ways letters of the word HISTORY can be arranged if Y is next to T.
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.
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?
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 so that letters of the word HISTORY can be arranged as there is no restriction
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 ways so that letters of the word HISTORY can be arranged as begin with S and end with T
Find the number of arrangements of the letters in the word SOLAPUR so that consonants and vowels are placed alternately
How many numbers can be formed using the digits 0, 1, 2, 3, 4, 5 without repetition so that resulting numbers are between 100 and 1000?
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
In how many ways can 5 different books be arranged on a shelf if there are no restrictions
3 boys and 3 girls are to sit in a row. How many ways can this be done if there are no restrictions
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 ______.
