Question

A teacher wants to award prizes for 1st, 2nd, 3rd, 4th and 5th in the class of

Answer 1

Answer:

2,052,086,400.

Step-by-step explanation:

Permutation

Pr = n! / (n-r)!

30P5 = 30! / (30-5)

30P5 = 30x29x28x27x26x25! / 25!

(Just cancel the 25! on the numerator and denominator for easier solving.)

30P5 = 30x29x28x27x26

30P5 = 17,100,720.It is not the final answer because we can still arrange the 5 winners.

5! = 5×4×3×2×1 = 12017,100,720 × 120 = 2,052,086,400