Question

Compute:
i) $\frac{10!}{5!}$
ii) $(\frac{10}{5})!$
iii) $3! \times 3!$
iv) $(3 \times 3)!$

Answer 1

Answer:

i) 30240

ii) 2

iii) 36

iv) 362880

Step-by-step explanation:

Hi,

i) 10!/5!

10! = 10*9*8*7*6*5!

10!/5! = 10*9*8*7*6

= 30240

ii) (10/5)!

= (2)!

= 2*1

= 2

iii) 3!*3!

We know 3! = 3*2*1 = 6

3!*3! = 6*6

= 36

iv) (3 * 3)!

= 9!

= 9*8*7*6*5*4*3*2*1

= 362880

Hope, it helps !

Answer 2

Solution :

i ) $\frac{10!}{5!}$

= $\frac{10.9.8.7.6.5!}{5!}$

= $10×9×8×7×6$

= $30240$


ii) $(\frac{10}{5})!$

= $2!$

= $2×1$

= 2

iii ) $3! \times 3!$

= $3×2×1×3×2×1$

= $ 6 × 6 $

= $36$

iv) $(3 \times 3)!$

= $(3×3)!$

= $9!$

= $9×8×7×6×5×4×2×1$

= $362880$

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