Advertisements
Advertisements
प्रश्न
In how many ways 4 mathematics books, 3 physics books, 2 chemistry books and 1 biology book can be arranged on a shelf so that all books of the same subjects are together
Advertisements
उत्तर
Number of maths book = 4
Number of physics books = 3
Number of chemistry books = 2
Number of biology books = 1
Since we want books of the same subjects together
We have to treat all maths books as 1 unit
All physics books as 1 unit
All chemistry books as 1 unit
And all biology books as 1 unit.
Now the total number of units = 4
They can be arranged in 4! ways.
After this arrangement.
4 maths book can be arranged in 4! ways
3 physics book can be arranged in 3! ways
2 chemistry book can be arranged in 2! ways
And 1 biology book can be arranged in 1! way
∴ Total Number of arrangements 4! 4! 3! 2! = 6912
APPEARS IN
संबंधित प्रश्न
In how many ways can three jobs I, II and III be assigned to three persons A, B and C if one person is assigned only one job and all are capable of doing each job?
Find the number of ways in which 8 distinct toys can be distributed among 5 childrens.
In how many ways can 7 letters be posted in 4 letter boxes?
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 5 boys and 3 girls can be seated in a row so that each girl is between 2 boys ?
Number of all four digit numbers having different digits formed of the digits 1, 2, 3, 4 and 5 and divisible by 4 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 x if `1/(6!) + 1/(7!) = x/(8!)`
If (n+2)! = 60[(n–1)!], find n
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?
Find the number of arrangements that can be made out of the letters of the word “ASSASSINATION”.
The total number of 9 digit number which has all different digit is:
The number of permutation of n different things taken r at a time, when the repetition is allowed is ______.
If `""^10"P"_("r" - 1)` = 2 × 6Pr, find r
In how many ways can the letters of the word SUCCESS be arranged so that all Ss are together?
Choose the correct alternative:
If Pr stands for rPr then the sum of the series 1 + P1 + 2P2 + 3P3 + · · · + nPn is
Find the number of permutations of n different things taken r at a time such that two specific things occur 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.
Number of words from the letters of the words BHARAT in which B and H will never come together is ______.
