हिंदी

Find the Number of Words Formed by Permuting All the Letters of the Following Words:Intermediate

Advertisements
Advertisements

प्रश्न

Find the number of words formed by permuting all the letters of the following words:
INTERMEDIATE

Advertisements

उत्तर

This word consists of 12 letters that include two Is, two Ts and three Es.
The total number of words is the number of arrangements of 12 things, of which 2 are similar to one kind, 2 are similar to the second kind and 3 are similar to the third kind.
⇒\[\frac{12!}{2!2!3!}\]= 19958400

shaalaa.com
Factorial N (N!) Permutations and Combinations
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 16: Permutations - Exercise 16.5 [पृष्ठ ४२]

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.5 | Q 1.2 | पृष्ठ ४२

संबंधित प्रश्न

If (n + 2)! = 60 [(n − 1)!], find n. 


If (n + 1)! = 90 [(n − 1)!], find n.


If P (n, 5) = 20. P(n, 3), find n ?


If P(11, r) = P (12, r − 1) find r.


If P (n, 4) = 12 . P (n, 2), find n.


Four letters E, K, S and V, one in each, were purchased from a plastic warehouse. How many ordered pairs of letters, to be used as initials, can be formed from them?


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


In how many ways can 6 boys and 5 girls be arranged for a group photograph if the girls are to sit on chairs in a row and the boys are to stand in a row behind them?


How many 3-digit even number can be made using the digits 1, 2, 3, 4, 5, 6, 7, if no digits is repeated?


All the letters of the word 'EAMCOT' are arranged in different possible ways. Find the number of arrangements in which no two vowels are adjacent to each other.


In how many ways can the letters of the word 'STRANGE' be arranged so that

the vowels never come together? 


How many different words can be formed with the letters of word 'SUNDAY'? How many of the words begin with N? How many begin with N and end in Y?


How many permutations can be formed by the letters of the word, 'VOWELS', when

all vowels come together?


How many words can be formed out of the letters of the word 'ARTICLE', so that vowels occupy even places?


How many words (with or without dictionary meaning) can be made from the letters in the word MONDAY, assuming that no letter is repeated, if all letters are used but first is vowel.


How many three letter words can be made using the letters of the word 'ORIENTAL'?


Find the number of words formed by permuting all the letters of the following words:
ARRANGE


Find the number of words formed by permuting all the letters of the following words:

INDIA


Find the number of words formed by permuting all the letters of the following words:

RUSSIA


Find the number of words formed by permuting all the letters of the following words:
CONSTANTINOPLE


How many words can be formed with the letters of the word 'PARALLEL' so that all L's do not come together?


How many words can be formed by arranging the letters of the word 'MUMBAI' so that all M's come together?


How many number of four digits can be formed with the digits 1, 3, 3, 0?


In how many ways can the letters of the word 'ARRANGE' be arranged so that the two R's are never together?


How many different numbers, greater than 50000 can be formed with the digits 0, 1, 1, 5, 9.


How many different arrangements can be made by using all the letters in the word 'MATHEMATICS'. How many of them begin with C? How many of them begin with T?


In how many ways can the letters of the word ASSASSINATION be arranged so that all the S's are together?


If the permutations of a, b, c, d, e taken all together be written down in alphabetical order as in dictionary and numbered, find the rank of the permutation debac ?


The letters of the word 'ZENITH' are written in all possible orders. How many words are possible if all these words are written out as in a dictionary? What is the rank of the word 'ZENITH'?


Prove that the product of 2n consecutive negative integers is divisible by (2n)!


Find the number of permutations of n distinct things taken together, in which 3 particular things must occur together.


If 35Cn +7 = 35C4n − 2 , then write the values of n.


Write the number of ways in which 12 boys may be divided into three groups of 4 boys each.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×