The correct option is A True 20! 18! =? 20!=20× 19× 18× ........3× 2× 1 =20× 19× (18!) 20! 18! = 20× 19× (18!) 18! =20× 19=380 Hence t ...

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Factorial

Given: 20!...

Question

Given: $\frac{20!}{18!} = 380$

True

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False

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Either

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Neither

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Solution

The correct option is A True
$\frac{20!}{18!} = ? 20! = 20 \times 19 \times 18 \times . . . . . . . .3 \times 2 \times 1 = 20 \times 19 \times (18!) \frac{20!}{18!} = \frac{20 \times 19 \times (18!)}{18!} = 20 \times 19 = 380$
Hence the value matches so the equation is true.

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Question 8
Can two numbers have 18 as their HCF and 380 as their LCM? Give reasons.

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