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高一 [排列組合]:有相同物的排列小測驗

Authored by 宋宥松 宋宥松

Mathematics

10th Grade

Used 5+ times

高一 [排列組合]:有相同物的排列小測驗
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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

4個A,3個B,2個C,排列方法數有幾種?

8!4!3!2!\frac{8!}{4!3!2!}

9!4!3!2!\frac{9!}{4!3!2!}

9!9!

4×3×24\times3\times2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

"好智障哈哈哈",這六個字任意排列的方法數有幾種?

6!3!3!\frac{6!}{3!3!}

6!3!\frac{6!}{3!}

6!6!

6!1!2!3!\frac{6!}{1!2!3!}

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

6個相同的黑球,4個相同的白球,這10顆球排成一列的方法數為?

10!4!6!\frac{10!}{4!6!}

6×46\times4

10!10!

10!6×4\frac{10!}{6\times4}

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

A點走最短路徑到B點,有幾種走法?

4!3!1!\frac{4!}{3!1!}

8!3!5!\frac{8!}{3!5!}

5!×3!5!\times3!

3×53\times5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

一樓梯只有4階,某人上樓時可以跨1階或跨2階,則此人上樓共有幾種方法?

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