Advertisements
Advertisements
प्रश्न
8 women and 6 men are standing in a line. In how many arrangements will all 6 men be standing next to one another?
Advertisements
उत्तर
There are 6 men and 8 women.
To make all 6 men together treat them as 1 unit.
Now there are 1 + 8 = 9 persons.
They can be arranged in 9! ways.
After this arrangement the 6 men can be arranged in 6! ways.
So total number of arrangement = 9! × 6!
APPEARS IN
संबंधित प्रश्न
Evaluate 8!
if `1/(6!) + 1/(7!) = x/(8!)`, find x
How many 4-digit numbers are there with no digit repeated?
Find r if `""^5P_r = 2^6 P_(r-1)`
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 ?
In how many ways can 4 letters be posted in 5 letter boxes?
In how many ways 4 women draw water from 4 taps, if no tap remains unused?
Write the number of words that can be formed out of the letters of the word 'COMMITTEE' ?
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 ?
The number of permutations of n different things taking r at a time when 3 particular things are to be included is
If the letters of the word KRISNA are arranged in all possible ways and these words are written out as in a dictionary, then the rank of the word KRISNA is
How many six-digit telephone numbers can be formed if the first two digits are 45 and no digit can appear more than once?
Find the rank of the word ‘CHAT’ in the dictionary.
The total number of 9 digit number which has all different digit is:
A test consists of 10 multiple choice questions. In how many ways can the test be answered if question number n has n + 1 choices?
8 women and 6 men are standing in a line. In how many arrangements will no two men be standing next to one another?
The number of signals that can be sent by 6 flags of different colours taking one or more at a time is ______.
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?
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 ______.
