मराठी

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

Advertisements
Advertisements

प्रश्न

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

बेरीज
Advertisements

उत्तर

There are 8 different letters in the word EQUATION.

Number of words formed from these letters (with or without meaning) = `(8!)/((8 - 8)!) = 8!`

= 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

= 40320

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Permutations and Combinations - EXERCISE 6.3 [पृष्ठ ११४]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 11
पाठ 6 Permutations and Combinations
EXERCISE 6.3 | Q 8. | पृष्ठ ११४

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

In how many ways can the letters of the word PERMUTATIONS be arranged if the vowels are all together.


Find x in each of the following:

\[\frac{x}{10!} = \frac{1}{8!} + \frac{1}{9!}\]

Which of the following are true:

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


How many numbers of six digits can be formed from the digits 0, 1, 3, 5, 7 and 9 when no digit is repeated? How many of them are divisible by 10 ?


A coin is tossed three times and the outcomes are recorded. How many possible outcomes are there? How many possible outcomes if the coin is tossed four times? Five times? n times?


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


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 7 letters be posted in 4 letter boxes?


Evaluate each of the following:

10P

In how many ways 4 women draw water from 4 taps, if no tap remains unused?


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


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


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 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 different ways in which 8 persons can stand in a row so that between two particular persons A and B there are always two persons, is


English alphabet has 11 symmetric letters that appear same when looked at in a mirror. These letters are A, H, I, M, O, T, U, V, W, X and Y. How many symmetric three letters passwords can be formed using these letters?


How many five digits telephone numbers can be constructed using the digits 0 to 9 If each number starts with 67 with no digit appears more than once?


If nP4 = 12(nP2), find n.


  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:


If n is a positive integer, then the number of terms in the expansion of (x + a)n is:


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


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

How will the answer change if each question may have more than one correct answers?


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


8 women and 6 men are standing in a line. In how many arrangements will no two men be standing next to one another?


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


If all permutations of the letters of the word AGAIN are arranged in the order as in a dictionary. What is the 49th word?


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


The total number of 9 digit numbers which have all different digits is ______.


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


The number of different words that can be formed from the letters of the word INTERMEDIATE such that two vowels never come together is ______.


Let b1, b2, b3, b4 be a 4-element permutation with bi ∈ {1, 2, 3, .......,100} for 1 ≤ i ≤ 4 and bi ≠ bj for i ≠ j, such that either b1, b2, b3 are consecutive integers or b2, b3, b4 are consecutive integers. Then the number of such permutations b1, b2, b3, b4 is equal to ______.


Ten different letters of an alphabet are given. Words with five letters are formed from these given letters. Determine the number of words which have at least one letter repeated.


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×