In how many ways can 10 lion and 6 tigers to be arranged in a row so that no two tigers are together ?
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Answer:
Your answer is
Step-by-step explanation:
10 ! * 10^P6
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Given :
Lion = 10
Tigers = 6
To find :
No. of ways in which they are arranged in a row so that no two tigers are together.
Solution :
_ L₁ _ L₂ _ L₃ _ L₄ _ L₅ _ L₆ _ L₇ _ L₈ _ L₉ _ L₁₀ _
Lions can be arranged in 10! ways
Total no. of vacant spaces = 11
T₁ has 11 places , T₂ has 10 places since T₁ and taken a place and similarly T₃ has 9 places , T₄ has 8 place , T₅ has 7 places and T₆ has 6 places.
Therefore tigers can be arranged in 11×10×9×8×7×6 ways
Therefore total no. of ways = 10! × (11×10×9×8×7×6)
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