In how many ways u can arrange 5 lions and 4 tigers so that no two tigers follow each other .
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Answered by
1
1st Approach :
L T L T L T L T L
The 5 lions should be arranged in the 5 places marked 'L'
This can be done in 5! ways.
The 4 tigers should be in the 4 places marked 'T'
This can be done in 4! ways.
Therefore, the lions and the tigers can be arranged in 5! ×× 4! ways = 2880 ways.
2nd Approach :
But I want to approach in the following way :
Let all the lions appear together so that 4L = 1unit
So, there are 4 tigers + 1 Lion = 5 units
5 things can be arranged in 5!5! ways and 5 lions can be arranged themselves in 5! ways , So there are 5! ×5!×5! ways.
Total number of ways in which we can arrange 9 items = 9! ways.
Therefore condition when no two lions never appear together
= 9! - 5!×5!5!×5! = 5!( 9.8.7.6 - 5.4.3.2) = 348480
I hope this helps you!!!
Please mark my answer as the brainliest.
L T L T L T L T L
The 5 lions should be arranged in the 5 places marked 'L'
This can be done in 5! ways.
The 4 tigers should be in the 4 places marked 'T'
This can be done in 4! ways.
Therefore, the lions and the tigers can be arranged in 5! ×× 4! ways = 2880 ways.
2nd Approach :
But I want to approach in the following way :
Let all the lions appear together so that 4L = 1unit
So, there are 4 tigers + 1 Lion = 5 units
5 things can be arranged in 5!5! ways and 5 lions can be arranged themselves in 5! ways , So there are 5! ×5!×5! ways.
Total number of ways in which we can arrange 9 items = 9! ways.
Therefore condition when no two lions never appear together
= 9! - 5!×5!5!×5! = 5!( 9.8.7.6 - 5.4.3.2) = 348480
I hope this helps you!!!
Please mark my answer as the brainliest.
username52270:
jadha bange sala
_T_T_T_T_
Now send the lions in the gaps:
LTLTLTLTL
Tigers can interchange: 4! Ways
Ways to make the Lions sit: 5C5 * 5! (5C5=1)
So, final answer: 4!*5!=120*24= 2880
Answered by
2
hey, here is your answer.....
==> 43,200 ways...
hope this helps you...
thank you....
plzz mark me as brainliest .....
==> 43,200 ways...
hope this helps you...
thank you....
plzz mark me as brainliest .....
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