7pr=60×7Pr-3=60 find r plz help me
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r = 5 if ⁷Pₙ = 60 * ⁷Pₙ₋₃ (n = r)
Step-by-step explanation:
Let say r = n
⁷Pₙ = 60 * ⁷Pₙ₋₃
=> 7!/(7 - n)! = 60 * 7!/(7 - (n-3))!
=> 7!/(7 - n)! = 60 * 7!/(10-n)!
=> 7!/(7 - n)! = 60 * 7!/(10-n)(9 - n)(8-n)(7-n)!
=> (10-n)(9 - n)(8-n) = 60
n = 5 Will Satisfy this Equation
as (10 - 5)(9 - 5)(8 - 5)
= 5 * 4 * 3
= 60
=>n = 5
r = n
=> r = 5
⁷P₅ = 60 * ⁷P₅₋₃
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