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Question Number 157980 by zainaltanjung last updated on 30/Oct/21

Calculate this problem below

a) . \frac{7!}{(5 - 1)!} = \dots \dots

b) . \frac{5! \times 3!}{4!} = \dots \dots

c) . 6! 4! = \dots

d) . \frac{7!}{3!} \times \frac{2!}{5!} = \dots \dots

Answered by puissant last updated on 30/Oct/21

a)

\frac{7!}{(5 - 1)!} = \frac{7 \times 6 \times 5 \times 4!}{4!} = 7 \times 6 \times 5 = 210

b)

\frac{5! \times 3!}{4!} = \frac{5 \times 4! \times 3!}{4!} = 5 \times 6 = 30

c)

6! \times 4! = 6 \times 5 \times 4^{2} \times 3^{2} \times 2^{2} \times 1^{2} = 17280

d)

\frac{7!}{3!} \times \frac{2!}{5!} = \frac{7 \times 6 \times 5! \times 2!}{6 \times 5!} = 7 \times 2! = 14

Commented by zainaltanjung last updated on 30/Oct/21

okey \dots brother . true answered

Answered by MathsFan last updated on 30/Oct/21

a) \frac{7 \times 6 \times 5 \times 4 \times \cancel 3 \times 2 \times 1}{4 \times \cancel 3 \times 2 \times 1} = 210

b) \frac{5 \times \cancel 4! \times 1 \times 2 \times 3}{\cancel 4!} = 30

c) 6! ∙ 4!

6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 720

4! = 4 \times 3 \times 2 \times 1 = 24

24 \times 720 = 17 280

d) \frac{7 \times \cancel 6^{2} \times \cancel 5!}{\cancel 3 \times \cancel 2!} \times \frac{\cancel 2!}{\cancel 5!} = 7 \times 2 = 14

Commented by zainaltanjung last updated on 30/Oct/21

Okey \dots . thanks a lot .

your ? answered is true