Question

If np3=1320, then the value of 'n' is

Answer 1

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Answer 2

• If ⁿp₃ is equal to 1320, the value of n is equal to 12 .

Given :-

• ⁿp₃ = 1320 .

To Find :-

• Value of n ?

Formula used :-

• ⁿpᵣ = n! ÷ (n - r)!

Solution :-

given that,

→ ⁿp₃ = 1320

using ⁿpᵣ = n! ÷ (n - r)! in LHS,

→ n! ÷ (n - 3)! = 1320

→ [n × (n - 1) × (n - 2) × (n - 3)!] ÷ (n - 3)! = 1320

→ n(n - 1)(n - 2) = 1320

→ n(n - 1)(n - 2) = 132 × 10

→ n(n - 1)(n - 2) = 12 × 11 × 10

→ n(n - 1)(n - 2) = 12(12 - 1)(12 - 2)

comparing LHS and RHS we get,

→ n = 12 (Ans.)

Hence, the value of n is equal to 12 .

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