हिंदी

Write the Number of All Possible Words that Can Be Formed Using the Letters of the Word 'Mathematics'.

Advertisements
Advertisements

प्रश्न

Write the number of all possible words that can be formed using the letters of the word 'MATHEMATICS'.

Advertisements

उत्तर

The word 'MATHEMATICS' consists of 11 letters including two Ms, two Ts and two As
Number of words that can be formed out of the letters of the word MATHEMATICS = Number of arrangements of 11 things of which 2 are similar to the first kind, 2 are similar to the second kind and 2 are similar to the third kind =\[\frac{11!}{2!2!2!}\]

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 16: Permutations - Exercise 16.6 [पृष्ठ ४५]

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.6 | Q 8 | पृष्ठ ४५

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Evaluate 8!


Evaluate 4! – 3!


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


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?


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


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:

10P

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


The number of permutations of n different things taking r at a time when 3 particular things are to be included is


The number of five-digit telephone numbers having at least one of their digits repeated is


The number of words that can be formed out of the letters of the word "ARTICLE" so that vowels occupy even places is


How many numbers greater than 10 lacs be formed from 2, 3, 0, 3, 4, 2, 3 ?


The number of six letter words that can be formed using the letters of the word "ASSIST" in which S's alternate with other letters is


The number of ways in which the letters of the word 'CONSTANT' can be arranged without changing the relative positions of the vowels and consonants is


The number of ways in which 6 men can be arranged in a row so that three particular men are consecutive, is


If k + 5Pk + 1 =\[\frac{11 (k - 1)}{2}\]. k + 3Pk , then the values of k are


How many 6-digit telephone numbers can be constructed with the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 if each numbers starts with 35 and no digit appear more than once?


Evaluate the following.

`(3! + 1!)/(2^2!)`


The possible outcomes when a coin is tossed five times:


The number of ways to arrange the letters of the word “CHEESE”:


The number of words with or without meaning that can be formed using letters of the word “EQUATION”, with no repetition of letters is:


If `""^10"P"_("r" - 1)` = 2 × 6Pr, find r


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


A student appears in an objective test which contain 5 multiple choice questions. Each question has four choices out of which one correct answer.

What is the maximum number of different answers can the students give?


8 women and 6 men are standing in a line. How many arrangements are possible if any individual can stand in any position?


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


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


How many strings are there using the letters of the word INTERMEDIATE, if no two vowels are together


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


Find the number of different words that can be formed from the letters of the word ‘TRIANGLE’ so that no vowels are together


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


If 1P1 + 2. 2p2 + 3. 3p3 + ....... 15. 15P15 = qPr – s, 0 ≤ s ≤ 1, then q+sCr–s is equal to ______.


The number of three-digit even numbers, formed by the digits 0, 1, 3, 4, 6, 7 if the repetition of digits is not allowed, is ______.


Number of words from the letters of the words BHARAT in which B and H will never come together is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×