हिंदी

The Number of Ways in Which 6 Men Can Be Arranged in a Row So that Three Particular Men Are Consecutive, is , 4! × 3! , 4! , 3! × 3! , None of These.

Advertisements
Advertisements

प्रश्न

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

विकल्प

  • 4! × 3!

  • 4!

  • 3! × 3!

  • none of these.

MCQ
Advertisements

उत्तर

4! × 3!
According to the question, 3 men have to be 'consecutive' means that they have to be considered as a single man.
But, these 3 men can be arranged among themselves in 3! ways.
And, the remaining 3 men, along with this group, can be arranged among themselves in 4! ways.
∴ Total number of arrangements =  4! × 3!

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 16: Permutations - Exercise 16.7 [पृष्ठ ४७]

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.7 | Q 14 | पृष्ठ ४७

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Evaluate `(n!)/((n-r)!)` when  n = 6, r = 2 


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


Find n if n – 1P3 : nP4 = 1 : 9


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


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


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


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 ?


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?


How many natural numbers less than 1000 can be formed from the digits 0, 1, 2, 3, 4, 5 when a digit may be repeated any number of times?


How many 5-digit telephone numbers can be constructed using the digits 0 to 9. If each number starts with 67 and no digit appears more than once?


Find the number of ways in which one can post 5 letters in 7 letter boxes ?


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


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


Write the number of words that can be formed out of the letters of the word 'COMMITTEE' ?


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 number of ways in which 5 boys and 3 girls can be seated in a row so that each girl is between 2 boys ?


Write the number of numbers that can be formed using all for digits 1, 2, 3, 4 ?


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


If in a group of n distinct objects, the number of arrangements of 4 objects is 12 times the number of arrangements of 2 objects, then the number of objects 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


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


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?


The number of permutation of n different things taken r at a time, when the repetition is allowed is ______.


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


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 vowels are never together


Each of the digits 1, 1, 2, 3, 3 and 4 is written on a separate card. The six cards are then laid out in a row to form a 6-digit number. How many distinct 6-digit numbers are there?


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


Choose the correct alternative:
The product of r consecutive positive integers is divisible b


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


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`.


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×