English

The Number of Words from the Letters of the Word 'Bharat' in Which B and H Will Never Come Together, is 360,240,120,None of These.

Advertisements
Advertisements

Question

The number of words from the letters of the word 'BHARAT' in which B and H will never come together, is

Options

  • 360

  • 240

  • 120

  • none of these.

MCQ
Advertisements

Solution

 240
Total number of words that can be formed of the letters of the word BHARAT =\[\frac{6!}{2!}\]= 360

Number of words in which the letters B and H are always together  = \[2 \times\]\[\frac{5!}{2!}\]= 120

∴ Number of words in which the letters B and H are never together = 360 - 120 = 240

shaalaa.com
  Is there an error in this question or solution?
Chapter 16: Permutations - Exercise 16.7 [Page 46]

APPEARS IN

R.D. Sharma Mathematics [English] Class 11
Chapter 16 Permutations
Exercise 16.7 | Q 6 | Page 46

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

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


Evaluate `(n!)/((n-r)!)`, when n = 9, r = 5


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?


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 ways can the letters of the word PERMUTATIONS be arranged if the words start with P and end with S.


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?


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?


How many three digit numbers can be formed by using the digits 0, 1, 3, 5, 7 while each digit may be repeated any number of 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 ?


Three dice are rolled. Find the number of possible outcomes in which at least one die shows 5 ?


In how many ways can 4 prizes be distributed among 5 students, when
(i) no student gets more than one prize?
(ii) a student may get any number of prizes?
(iii) no student gets all the prizes?


Evaluate each of the following:

8P3


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 arrangements of the letters of the word BANANA in which two N's come together.


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 arrangements of the letters of the word BHARAT taking 3 at a time is


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


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?

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


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 `""^(("n"  – 1))"P"_3 : ""^"n""P"_4` = 1 : 10 find n


Three men have 4 coats, 5 waist coats and 6 caps. In how many ways can they wear them?


How many strings can be formed from the letters of the word ARTICLE, so that vowels occupy the even places?


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


How many strings are there using the letters of the word INTERMEDIATE, if the vowels and consonants are alternative


If the letters of the word GARDEN are permuted in all possible ways and the strings thus formed are arranged in the dictionary order, then find the ranks of the words
GARDEN


Find the number of strings that can be made using all letters of the word THING. If these words are written as in a dictionary, what will be the 85th string?


Find the sum of all 4-digit numbers that can be formed using digits 0, 2, 5, 7, 8 without repetition?


Find the number of permutations of n different things taken r at a time such that two specific things occur together.


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 ______.


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.


The number of permutations by taking all letters and keeping the vowels of the word ‘COMBINE’ in the odd places is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×