Question

Can anybody help me with this problem ? (_11^)P_7

Answer 1

₁₁P₇ = $\frac{11!}{(11 - 7)!}$
₁₁P₇ = $\frac{11!}{4!}$
₁₁P₇ = $\frac{11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1}{4 * 3 * 2 * 1}$
₁₁P₇ = 11 × 10 × 9 × 8 × 7 × 6 × 5
₁₁P₇ = 110 × 72 × 42 × 5
₁₁P₇ = 7920 × 210
₁₁P₇ = 1,663,200