Question

The value of ¹⁰P₂ is
1. 100
2. 80
3. 90
4. 95

Answer 1

Correct Answer - Option 3 : 90

Given:

10P2 

Formula used:

ⁿP_r = \(\frac{{n!}}{{\left( {n - r} \right)!}}\)

n! = n × (n - 1) × (n - 2) × ... × 3 × 2 × 1

Calculation:

nPr = \(\frac{{n!}}{{\left( {n - r} \right)!}}\)

10P2 = \(\frac{{10!}}{{\left( {10 - 2} \right)!}}\)

⇒ (10 × 9 × 8!)/8!

⇒ 10 × 9

⇒ 90

∴ The value of 10P2 is 90.