SOLUTION: From a collection of 10 different fonts, 3 different ones must be chosen to be used on a webpage: one for heading, one for standard text and one for quotations. Determine the numbe

Question 1193915: From a collection of 10 different fonts, 3 different ones must be chosen to be used on a webpage: one for heading, one for standard text and one for quotations. Determine the number of different ways the fonts can be chosen and allocated, given that one of the ten fonts, MT Heading, is only appropriate for the heading.
The answer is 576.
Can someone please explain how to get this answer. Thank you.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

If MT Heading is used for the heading, then, since the three fonts have to be different, there are 9 choices for the second font and 8 choices for the third; the total number of choices is 9*8=72.

If MT Heading is not used for the heading, then it can't be used for either text or quotations. So there are 9 choices for the header, then 8 choices for one of the others and 7 choices for the last; the total number of choices is 9*8*7=504. The total number of ways to choose the three fonts is 72+504=576.

RELATED QUESTIONS
16 people ( 10 men & 6 women) are on a team. How many different ways can the team chose a (answered by Edwin McCravy)

There are 5 women and 4 men in a club, a team of 4 has to be chosen. How many different... (answered by math_helper)

From 5 employees at a company, a group of 3 will be chosen to work on a project. How many (answered by TimothyLamb)

it would be greatly appreciated if someone helped with the steps on this one.. the... (answered by checkley77,josmiceli)

I just need someone to kindly look over these problems and let me know if I did them... (answered by stanbon)

A swim team must be chosen from 10 candidates. What is the greatest number of different... (answered by ikleyn)

Could someone please help me with this problem? I think I may be on the right track, but... (answered by KMST)

to win at LOTTO in one state,one must correctly select 4 numbers from a collection of 45... (answered by jim_thompson5910)

Four people are chosen at random from a pool of 1,000 for free tickets to a Cubs game.... (answered by edjones)