Q1 of 140 Page 288

Evaluate:
⁹P₀

To find: the value of ⁹P₀

Formula Used:

Total number of ways in which n objects can be arranged in r places (Such that no object is replaced) is given by,

ⁿP_r

Therefore,

⁹P₀

⁹P₀ = 1

Thus, the value of ⁹P₀ is 1.

Evaluate:

⁶²P₃

Evaluate:

⁶P₆

Prove that ⁹P₃ + 3 × ⁹P₂ = ¹⁰P₃.

(i) If ⁿP₅ = 20 × ⁿP₃, find n.

(ii) If 16 × ⁿP₃ = 13 × ⁿ⁺¹P₃, find n.

(iii) If ²ⁿP₃ = 100 × ⁿP₂, find n.

Evaluate:9P0