A newly-wed couple is using a website to design an eBook Wedding Album to distribute to their friends and families. The template they have chosen has places for 3 large photos and 19 smaller photos. The couple has 6 large photos they could use for those three slots, and 21 smaller photos they could use for those 19 slots. Given these choices, how many different possible albums could they create? Options:
A) 3,150 B) 4,200 C) 5,040 D) 20,520 E) 84,000
For the big album they have to choose 3 out of their 6 photos, and leave out 3:   6! / 3!3! = 20   For the small album they have to choose 19 out of their 21 photos and leave out 2:   21! / 19!2! = 210   All combinations together: 210*20= 
<gadget id="calculator">210*20</gadget>
<output>4_200</output>
4200, ANS 4,200
<result>B</result>
A newly-wed couple is using a website to design an eBook Wedding Album to distribute to their friends and families. The template they have chosen has places for 3 large photos and 19 smaller photos. The couple has 6 large photos they could use for those three slots, and 21 smaller photos they could use for those 19 slots. Given these choices, how many different possible albums could they create?