OPERATIONS WITH FACTORIALS PERMUTATIONS AND COMBINATIONS WORKSHEET

Evaluate the following

Problem 1 :

Solution

Evaluate the following

Problem 2 :

(a) ⁵P₅

(b) ¹⁰⁰P₄

(c) ¹⁰C_10.

(d) ¹⁰⁰C₂

(e) ¹⁰⁰¹C₉₉₉

Solution

Problem 3 :

Show that ²⁰C₆ = ²⁰C₁₄

Solution:

Solution

Problem 4 :

Evaluate:

(i) ⁴P₂

(ii) ⁶P₃

(iii) ⁴P₃/³P₂

(iv) ⁶P₃ × ⁵P₂

(v) ⁿP_n

Solution

Problem 5 :

Verify each of the following statements:

(i) 6 × ⁵P₂ = ⁶P₂

(ii) 4 × ⁷P₃ = ⁷P₄

(iii) ³P₂ × ⁴P₂ = ¹²P₄

(iv) ³P₂ + ⁴P₂ = ⁷P₄

Solution