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