Ten people (5 men and 5 women) are attending a dinner party. In how many

ways can they be arranged if;


1. they are to be arranged around a dinner table?

2. they are to be arranged with men and women alternating around the table?

3. they are to be arranged as couples around the dinner table?​


Sagot :

1.answer

P=362,880

Step-by-step explanation:

n=10        <-- n is equal to ten because the total of number of people is equal to ten.

formula

P=(n-1)!

 =(10-1)!

 =9!

 =9x8x7x6x5x4x3x2x1

P=362,880

2.answer

P=2,880

formula:

P=4!5!

 =4x3x2x1 x 5x4x3x2x1

 =24x120

P=2,880

 

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