मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

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 - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

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

बेरीज

उत्तर

There are 6 different digits and we have to form 4-digit numbers, i.e., n = 6, r = 4.

If the repetition of digits is not allowed, then the number of 4-digit numbers

6P4

= `(6!)/(2!)`

= `(6 xx 5 xx 4 xx 3 xx 2!)/(2!)`

= 360.

shaalaa.com
Permutations - Permutations When Repetitions Are Allowed
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Permutations and Combination - Exercise 3.3 [पृष्ठ ५५]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
पाठ 3 Permutations and Combination
Exercise 3.3 | Q 10. (b) | पृष्ठ ५५

संबंधित प्रश्‍न

How many three-digit numbers can be formed from the digits 0, 1, 3, 5, 6 if repetitions of digits are not allowed?


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 arrangements of the letters in the word BERMUDA so that consonants and vowels are in the same relative positions.


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 6-digit numbers using the digits 3, 4, 5, 6, 7, 8 without repetition. How many of these numbers are not divisible by 5?


A code word is formed by two distinct English letters followed by two non-zero distinct digits. Find the number of such code words.


A code word is formed by two distinct English letters followed by two non-zero distinct digits. Find the number of such code words that end with an even digit.


Determine the number of arrangements of letters of the word ALGORITHM if consonants are at even positions.


In a group photograph, 6 teachers are in the first row and 18 students are in the second row. There are 12 boys and 6 girls among the students. If the middle position is reserved for the principal and if no two girls are together, find the number of arrangements.


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 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 end in ST


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


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 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 not 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.


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 ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×