मराठी

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

Advertisements
Advertisements

प्रश्न

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

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
  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 8 | पृष्ठ ४५

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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


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


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


Find r if `""^5P_r = ""^6P_(r-1)`


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


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


Find x in each of the following:

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

A customer forgets a four-digits code for an Automatic Teller Machine (ATM) in a bank. However, he remembers that this code consists of digits 3, 5, 6 and 9. Find the largest possible number of trials necessary to obtain the correct code.


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


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


Evaluate each of the following:

10P

Evaluate each of the following:

P(6, 4)


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


Write the total number of possible outcomes in a throw of 3 dice in which at least one of the dice shows an even number.


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


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 different signals which can be given from 6 flags of different colours taking one or more at a time, 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


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?


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


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?


  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?

Evaluate the following.

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


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


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?


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 all the vowels are together


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


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


Find the sum of all 4-digit numbers that can be formed using digits 1, 2, 3, 4, and 5 repetitions not allowed?


The number of arrangements of the letters of the word BANANA in which two N's do not appear adjacently is ______.


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.


Three married couples are to be seated in a row having six seats in a cinema hall. If spouses are to be seated next to each other, in how many ways can they be seated? Find also the number of ways of their seating if all the ladies sit together.


There are 10 persons named P1, P2, P3, ... P10. Out of 10 persons, 5 persons are to be arranged in a line such that in each arrangement P1 must occur whereas P4 and P5 do not occur. Find the number of such possible arrangements.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×