EXPRESS THE PRODUCT IN FACTORIAL FORM

Express in factorial form:

Problem 1 :

6 × 5 × 4 × 3 × 2 × 1

Solution :

= 6 × 5 × 4 × 3 × 2 × 1

= 6!

Problem 2 :

8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

Solution :

= 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

= 8!

Problem 3 :

3 × 2 × 1

Solution :

= 3 × 2 × 1

= 3!

Problem 4 :

9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

Solution :

= 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

= 9!

Express in factorial form:

Problem 5 :

7 × 6 × 5

Solution :

= 7 × 6 × 5

Multiply and divide by 4!, we get

= (7 × 6 × 5 × 4!) / 4!

= 7! / 4!

Problem 6 :

10 × 9

Solution :

= 10 × 9

Multiply and divide by 8!, we get

= (10 × 9 × 8!) / 8!

= 10! / 8!

Problem 7 :

11 × 10 × 9 × 8 × 7

Solution :

= 11 × 10 × 9 × 8 × 7

Multiply and divide by 6!, we get

= (11 × 10 × 9 × 8 × 7 × 6!) / 6!

= 11! / 6!

Problem 8 :

13 × 12 × 11 / 3 × 2 × 1

Solution :

= (13 × 12 × 11) / (3 × 2 × 1)

Multiply and divide by 10!, we get

= (13 × 12 × 11 × 10!) / 10! (3 × 2 × 1)

= 13! / 10! 3!

Problem 9 :

1 / (6 × 5 × 4)

Solution :

= 1 / (6 × 5 × 4)

Multiply and divide by 3!, we get

= 3! / (6 × 5 × 4 × 3!)

= 3! / 6!

Problem 10 :

(4 × 3 × 2 × 1) / (20 × 19 × 18 × 17)

Solution :

= (4 × 3 × 2 × 1) / (20 × 19 × 18 × 17)

Multiply and divide by 16!, we get

= (4 × 3 × 2 × 1) 16! / (20 × 19 × 18 × 17 × 16!)

= 4! 16! / 20!