The number of ways in which 8 different flowers
Asked by admin @ in Math viewed by 302 People
Find the number of ways in which 8 different flowers can be
strung to form a garland so that 4 particular flowers are never separated.
Answered by admin @
Hi ,
This question related to Permutations and combinations ,
According to the question given ,
4 flowers which are never separated take it as set .
Let 4 flowers in a set consider as 4 elements.
Now , the flowers is arranged in a number of ways = 4!
Again , 4 flowers in a set arranged in a number of ways = 4!
Hence ,
Total number of ways = 4! × 4!
we can arrange the flowers in both directions i.e clock and anti- clock wise ,
So, actual number of ways = ( 4! × 4! ) / 2
= ( 4 × 3 × 2 × 4 × 3 × 2 ) / 2
= 4 × 3 × 2 × 4 × 3
= 288
I hope this helps you .
***
Similar Questions
If the difference of two numbers is 8
Asked by admin @ in Math viewed by 375 persons
If the difference of two number is 8 and the difference of their squares is 160 then the numbers are
Write two prime numbers whose difference is 10
Asked by admin @ in Math viewed by 393 persons
Write two prime numbers whose difference is 10
The difference between two whole number is 66
Asked by admin @ in Math viewed by 347 persons
The difference between two whole number is 66 . The ratio of the two numbers is 2 :5 .What are two numbers .
If alpha and beta are two different complex numbers
Asked by admin @ in Math viewed by 420 persons
Question 17 If α and β are different complex numbers with | β |= 1, then find | (β-α)/(1- αβ) |.
Class X1 - Maths -Complex Numbers and Quadratic Equations …
If alpha and beta are different complex number with
Asked by admin @ in Math viewed by 325 persons
Question 17 If α and β are different complex numbers with | β |= 1, then find | (β-α)/(1- αβ) |.
Class X1 - Maths -Complex Numbers and Quadratic Equations …
The difference of the squares of two numbers is 180
Asked by admin @ in Math viewed by 325 persons
The difference of squares of two numbers is 180.The square of the smaller number is 8 times the larger number. Find the two numbers.............(it's a sum of Quadratic Equations!!!!)
12 different pairs of numbers with a difference of 12
Asked by maham237 @ in Mathematics viewed by 317 persons
of numbers with a difference of 12 and that he had found them all. How would you respond to him?
The square of the difference between a number and 10
Asked by maham237 @ in Mathematics viewed by 343 persons
Difference between binary number system and decimal number system
Asked by admin @ in Math viewed by 340 persons
Difference between decimal system and binary system
Atoms with same number of protons but different electrical charges
Asked by maham237 @ in Chemistry viewed by 376 persons
Atoms with the same number of protons but with different electrical charges _____. Have different atomic numbers are different ions have different atomic masses are different isotopes have different numbers …
How are flowers different from the reproductive organs of animals
Asked by admin @ in Social Sciences viewed by 324 persons
In what ways are flowers similar to the reproductive organs of animals?
What are the different ways in which animals reproduce
Asked by admin @ in Science viewed by 335 persons
What are the different ways in which animals reproduce
The number of different prime factors of 163800 is
Asked by admin @ in Math viewed by 467 persons
Write the prime factors of 163800.
What are the different ways by which animals reproduce
Asked by admin @ in Science viewed by 284 persons
What are the different ways in which animals reproduce
The smallest 7 digit number having 3 different digits
Asked by admin @ in Math viewed by 363 persons
What is the smallest 7 digit number having 3 different digits? Explain how?
Most viewed questions in Math
Prachi excellence in mathematics class 7 solutions pdf free download
Asked by admin @ in Math viewed by 12078 persons
Oxford new enjoying mathematics class 7 solutions chapter 1
Asked by admin @ in Math viewed by 11548 persons
Survey of various types of bank accounts icse project
Asked by admin @ in Math viewed by 11520 persons
Rahul went to his mother's mother in law
Asked by admin @ in Math viewed by 4189 persons