English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

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

Advertisements
Advertisements

Question

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

Sum
Advertisements

Solution

Total number of persons = 8 + 6 = 14

They can be arranged in 14! ways

shaalaa.com
  Is there an error in this question or solution?
Chapter 4: Combinatorics and Mathematical Induction - Exercise 4.2 [Page 178]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 4 Combinatorics and Mathematical Induction
Exercise 4.2 | Q 8. (i) | Page 178

RELATED QUESTIONS

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?


Which of the following are true:

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


Which of the following are true:

(2 × 3)! = 2! × 3!


In how many ways can three jobs I, II and III be assigned to three persons AB and C if one person is assigned only one job and all are capable of doing each job?


How many numbers of four digits can be formed with the digits 1, 2, 3, 4, 5 if the digits can be repeated in the same number?


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


Find the total number of ways in which 20 balls can be put into 5 boxes so that first box contains just one ball ?


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


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


If (n+2)! = 60[(n–1)!], find n


Find the number of arrangements that can be made out of the letters of the word “ASSASSINATION”.


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


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


How many strings are there using the letters of the word INTERMEDIATE, if no two vowels are 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 of these 6-digit numbers are divisible by 4?


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


In a certain city, all telephone numbers have six digits, the first two digits always being 41 or 42 or 46 or 62 or 64. How many telephone numbers have all six digits distinct?


If 1P1 + 2. 2p2 + 3. 3p3 + ....... 15. 15P15 = qPr – s, 0 ≤ s ≤ 1, then q+sCr–s is equal to ______.


If the letters of the word 'MOTHER' be permuted and all the words so formed (with or without meaning) be listed as in a dictionary, then the position of the word 'MOTHER' is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×