Question

please give me this question answer​

Answer 1

$\large\sf\underline{Given\::}$

• $\sf\large\:\frac{6! }{4! 2! }$

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$\large\sf\underline{To\::}$

• Simplify the given expression

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$\large\sf\underline{Understanding\:the\:concept\::}$‎

Everything is simple in the question except ' ! ' ( factorial ) .

So let's know what ${\sf{{\pink{' ! '}}}}$ actually mean :

${\sf{{\pink{' ! '}}}}$ symbol stands for factorial . It's a very simple thing. ${\sf{{\pink{' ! '}}}}$ simply means the product form.

For eg :

• 5 ! simply means 5 × 4 × 3 × 2 × 1

• 4 ! simply means 4 × 3 × 2 × 1

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$\large\sf\underline{Solution\::}$

$\sf\:\frac{6! }{4! 2! }$

$\sf\large\implies\:\frac{6 \times 5 \times 4 \times 3 \times 2 \times 1 }{(4 \times 3 \times 2 \times 1) ( 2 \times 1)}$

$\sf\large\implies\:\frac{30\times 4 \times 3 \times 2 \times 1 }{(12 \times 2 \times 1) 2}$

$\sf\large\implies\:\frac{120\times 3 \times 2 \times 1 }{(24 \times 1) 2}$

$\sf\large\implies\:\frac{360 \times 2 \times 1 }{24 \times 2}$

$\sf\large\implies\:\frac{720 \times 1 }{48}$

$\sf\large\implies\:\cancel{\frac{720}{48}}$

$\large{\mathfrak\red{\implies\:15}}$

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‎ $\dag\:\underline{\sf So\:the\:required\:simplified\:value\:of\:\frac{6! }{4! 2! }\:is\:15.}$

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!! Hope it helps !!

Answer 2

15.

Hope it will help you...