मराठी

In How Many Ways Can 4 Letters Be Posted in 5 Letter Boxes? - Mathematics

Advertisements
Advertisements

प्रश्न

In how many ways can 4 letters be posted in 5 letter boxes?

Advertisements

उत्तर

Each of the letter can be posted in anyone of the letter boxes.
This means that every letter can be posted in 5 ways.
∴ Total number of ways of posting 4 letters = `5xx5xx5xx5=5^4`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 16: Permutations - Exercise 16.6 [पृष्ठ ४५]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
पाठ 16 Permutations
Exercise 16.6 | Q 1 | पृष्ठ ४५

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Evaluate 4! – 3!


Compute `(8!)/(6! xx 2!)`


Evaluate `(n!)/((n-r)!)` when  n = 6, r = 2 


Find r if `""^5P_r = 2^6 P_(r-1)`


How many words, with or without meaning, can be formed using all the letters of the word EQUATION, using each letter exactly once?


In how many ways can the letters of the word PERMUTATIONS be arranged if the there are always 4 letters between P and S?


Find x in each of the following:

\[\frac{1}{4!} + \frac{1}{5!} = \frac{x}{6!}\]

Which of the following are true:

(2 × 3)! = 2! × 3!


How many natural numbers not exceeding 4321 can be formed with the digits 1, 2, 3 and 4, if the digits can repeat?


Find the number of ways in which 8 distinct toys can be distributed among 5 childrens.


In how many ways can 7 letters be posted in 4 letter boxes?


Write the number of 5 digit numbers that can be formed using digits 0, 1 and 2 ?


Write the remainder obtained when 1! + 2! + 3! + ... + 200! is divided by 14 ?


Write the number of numbers that can be formed using all for digits 1, 2, 3, 4 ?


The number of ways to arrange the letters of the word CHEESE are


If the letters of the word KRISNA are arranged in all possible ways and these words are written out as in a dictionary, then the rank of the word KRISNA is


A 5-digit number divisible by 3 is to be formed using the digits 0, 1, 2, 3, 4 and 5 without repetition. The total number of ways in which this can be done is


The number of arrangements of the letters of the word BHARAT taking 3 at a time is


The number of words that can be made by re-arranging the letters of the word APURBA so that vowels and consonants are alternate is


The number of ways in which the letters of the word ARTICLE can be arranged so that even places are always occupied by consonants is


If (n+2)! = 60[(n–1)!], find n


How many numbers lesser than 1000 can be formed using the digits 5, 6, 7, 8, and 9 if no digit is repeated?


In how many ways 5 boys and 3 girls can be seated in a row, so that no two girls are together?


Evaluate the following.

`((3!)! xx 2!)/(5!)`


Three men have 4 coats, 5 waist coats and 6 caps. In how many ways can they wear them?


Determine the number of permutations of the letters of the word SIMPLE if all are taken at a time?


A test consists of 10 multiple choice questions. In how many ways can the test be answered if each question has four choices?


A test consists of 10 multiple choice questions. In how many ways can the test be answered if the first four questions have three choices and the remaining have five choices?


8 women and 6 men are standing in a line. In how many arrangements will all 6 men be standing next to one another?


A coin is tossed 8 times, how many different sequences of heads and tails are possible?


How many strings are there using the letters of the word INTERMEDIATE, if vowels are never together


Each of the digits 1, 1, 2, 3, 3 and 4 is written on a separate card. The six cards are then laid out in a row to form a 6-digit number. How many distinct 6-digit numbers are there?


Find the number of strings that can be made using all letters of the word THING. If these words are written as in a dictionary, what will be the 85th string?


In how many ways can 5 children be arranged in a line such that two particular children of them are always together 


In a certain city, all telephone numbers have six digits, the first two digits always being 41 or 42 or 46 or 62 or 64. How many telephone numbers have all six digits distinct?


The number of words which can be formed out of the letters of the word ARTICLE, so that vowels occupy the even place is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×