हिंदी

The number of permutations of n different objects, taken r at a line, when repetitions are allowed, is ______. - Mathematics

Advertisements
Advertisements

प्रश्न

The number of permutations of n different objects, taken r at a line, when repetitions are allowed, is ______.

रिक्त स्थान भरें
Advertisements

उत्तर

The number of permutations of n different objects, taken r at a line, when repetitions are allowed, is nr.

Explanation:

Number of permutations of n different things taken r at a time

When reception is allowed = filling r places with the help of n different objects when reception is allowed

= n × b × n ... r times

= nr 

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Permutations and Combinations - Exercise [पृष्ठ १२५]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 7 Permutations and Combinations
Exercise | Q 43 | पृष्ठ १२५

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

if `1/(6!) + 1/(7!) = x/(8!)`, find x


How many 4-digit numbers are there with no digit repeated?


From a committee of 8 persons, in how many ways can we choose a chairman and a vice chairman assuming one person cannot hold more than one position?


How many words, with or without meaning can be made from the letters of the word MONDAY, assuming that no letter is repeated, if

(i) 4 letters are used at a time,

(ii) all letters are used at a time,

(iii) all letters are used but first letter is a vowel?


In how many of the distinct permutations of the letters in MISSISSIPPI do the four I’s not come together?


Which of the following are true:

(2 +3)! = 2! + 3!


Which of the following are true:

(2 × 3)! = 2! × 3!


If three six faced die each marked with numbers 1 to 6 on six faces, are thrown find the total number of possible outcomes ?


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?


Find the number of ways in which one can post 5 letters in 7 letter boxes ?


Find the total number of ways in which 20 balls can be put into 5 boxes so that first box contains just one ball ?


In how many ways can 5 different balls be distributed among three boxes?


There are 10 lamps in a hall. Each one of them can be switched on independently. Find the number of ways in which the hall can be illuminated ?


Evaluate each of the following:

6P


Write the number of words that can be formed out of the letters of the word 'COMMITTEE' ?


Write the number of ways in which 6 men and 5 women can dine at a round table if no two women sit together ?


Write the number of ways in which 5 boys and 3 girls can be seated in a row so that each girl is between 2 boys ?


Number of all four digit numbers having different digits formed of the digits 1, 2, 3, 4 and 5 and divisible by 4 is


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


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?


  1. In how many ways can 8 identical beads be strung on a necklace?
  2. In how many ways can 8 boys form a ring?

The greatest positive integer which divide n(n + 1) (n + 2) (n + 3) for all n ∈ N is:


The total number of 9 digit number which has all different digit is:


Find the distinct permutations of the letters of the word MISSISSIPPI?


How many ways can the product a2 b3 c4 be expressed without exponents?


In how many ways 4 mathematics books, 3 physics books, 2 chemistry books and 1 biology book can be arranged on a shelf so that all books of the same subjects are together


How many strings are there using the letters of the word INTERMEDIATE, if all the vowels are together


If the letters of the word FUNNY are permuted in all possible ways and the strings thus formed are arranged in the dictionary order, find the rank of the word FUNNY


Choose the correct alternative:
The product of r consecutive positive integers is divisible b


Choose the correct alternative:
If Pr stands for rPr then the sum of the series 1 + P1 + 2P2 + 3P3 + · · · + nPn is


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


In how many ways can 5 children be arranged in a line such that two particular children of them are never together.


In how many ways 3 mathematics books, 4 history books, 3 chemistry books and 2 biology books can be arranged on a shelf so that all books of the same subjects are together.


A five-digit number divisible by 3 is to be formed using the numbers 0, 1, 2, 3, 4 and 5 without repetitions. The total number of ways this can be done is ______.


In the permutations of n things, r taken together, the number of permutations in which m particular things occur together is `""^(n - m)"P"_(r - m) xx ""^r"P"_m`.


How many words (with or without dictionary meaning) can be made from the letters of the word MONDAY, assuming that no letter is repeated, if

C1 C2
(a) 4 letters are used at a time (i) 720
(b) All letters are used at a time (ii) 240
(c) All letters are used but the first is a vowel (iii) 360

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×