Question

if np3=60,then the value of n is​

Answer 1

Answer:

n=5

Step-by-step explanation:

n! = n(n-1)(n-2)........... 3×2×1

Answer 2

The value of n = 5

Given :

$\displaystyle \sf{ {}^{n}P_3 = 60 }$

To find :

The value of n

Solution :

Step 1 of 2 :

Write down the given equation

The given equation is

$\displaystyle \sf{ {}^{n}P_3 = 60 }$

Step 2 of 2 :

Find the value of n

$\displaystyle \sf{ {}^{n}P_3 = 60 }$

$\displaystyle \sf{ \implies {}^{n}P_3 = 5 \times 4 \times 3 }$

$\displaystyle \sf{ \implies {}^{n}P_3 = \frac{5!}{2!} }$

$\displaystyle \sf{ \implies {}^{n}P_3 = \frac{5!}{(5 - 3)!} }$

$\displaystyle \sf{ \implies {}^{n}P_3 = {}^{5}P_3 }$

Comparing both sides we get n = 5

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