Home
Class 12
MATHS
The number of five digits can be made wi...

The number of five digits can be made with the digits 1,2,3 each of which can be used atmost thrice in a number is ________ .

Text Solution

AI Generated Solution

To solve the problem of finding the number of five-digit numbers that can be formed using the digits 1, 2, and 3, where each digit can be used at most three times, we will analyze the different cases based on the frequency of each digit. ### Step-by-Step Solution: 1. **Identify the possible cases**: Since we are forming a five-digit number using the digits 1, 2, and 3, we can have the following distributions of the digits: - Case 1: One digit appears 3 times, another digit appears 2 times, and the last digit appears 0 times (3-2-0). - Case 2: One digit appears 3 times, and the other two digits appear 1 time each (3-1-1). ...
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section-J (Aakash Challengers Questions)|7 Videos

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section-H (Multiple True-False Type Questions)|4 Videos

  • MATRICES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|3 Videos

  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE ENGLISH|Exercise Section-D:(Assertion-Reason Type Questions)|11 Videos

Similar Questions

Explore conceptually related problems

The number of five digit even numbers that can be made with the digits, 0, 1, 2 and 3, is

How many numbers of 5 digits can be formed by the digits 1,2,2,1,3?

Find the number of numbers of 5 digits than can be formed with the digits 0,1,2,3,4 if the digits can be repeated in the same number.

How many numbers of four digits can be formed with the digits 1,2,3,4,5 if the digits can be repeated in the same number?

The number of 6 digit numbers that can be made with the digits 0,1,2,3,4 and 5 so that even digits occupy odd places is

The number of four-digit numbers that can be made with the digits 1, 2, 3, 4, and 5 in which at least two digits are identical is a. 4^5-5! b. 505 c. 600 d. none of these

The number of 4 digit numbers that can be formed with the digits 2,3,4,7 and using each digit only once is

The number of 6 digit numbers that can be made with the digits 1, 2, 3 and 4 and having exactly two pairs of digits, is

Find the number of numbers of six digits that can be formd with the digits 1,2,3,4 if all the digits are to asppear in the same number at least once.

Find the number of numbers of four digits that can be made from the digits 0,1,2,3,4,5 if digits can be repearted in the same num,ber. How many of these numbers have at least one digit repeated?