Question

1. Evaluate

Answer 1

(i)

The formula to calculate n! is defined as,

n!=1×2×3×⋯×( n−1 )×n

Substitute 8 for n in the above formula, to calculate the value of 8!,

8!=1×2×3×4×5×6×7×8 =40320

Thus, the value of 8! is 40320.

(ii)

The formula to calculate n! is defined as,

n!=1×2×3×⋯×( n−1 )×n

Substitute 4 for n in the above formula, to calculate the value of 4!.

4!=1×2×3×4 =24

Substitute 3 for n in the above formula, to calculate the value of 3!.

3!=1×2×3 =6

Substitute the value of 4! and 3! in 4!−3!.

4!−3!=24−6 =18

Thus, the value of 4!−3! is 18.