SOLUTION: Leslie has 7 books. There is enough space on a shelf for 3 books. In how many ways can 3 of the 7 books be arranged on the shelf? Out of the 12 girls who tried out for the softb

Algebra.Com
Question 1118314: Leslie has 7 books. There is enough space on a shelf for 3 books. In how many ways can 3 of the 7 books be arranged on the shelf?
Out of the 12 girls who tried out for the softball team, 10 will be chosen for the team. Find the number of different 10-person teams.

Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
use the combination formula nCk, n items take k at a time
:
(1) 7C3 = 7! / (3! * (7-3)!) = 35 ways
:
(2) 12C10 = 12! / (10! * (12-10)!) = 66 ways
:

RELATED QUESTIONS

Five boxes are to be arranged on a shelf, but there is only enough space for three books. (answered by jim_thompson5910)
There are 8 Physics books, 4 calculus books, 7 us history textbooks, and 3 resource books (answered by stanbon)
in how many ways can 10 different books be arranged on a shelf if there is room for... (answered by stanbon)
In how many ways can 3 different books be chosen from 7 different books and arranged in 3 (answered by KMST)
There are 10 books on a shelf. How many different ways can the books be... (answered by MathLover1)
This is all about combination. 1. In how many ways can 6 students be seated in a row... (answered by psbhowmick)
A bookshelf has 10 books, including 3 math books, 4 science books, and 3 history books.... (answered by greenestamps)
How many ways can a 2 Physics books, 4 Mathematics books and 3 Chemistry books be... (answered by ikleyn)
There are 3 math books and 3 history books that are to be arranged on a shelf. How many... (answered by greenestamps,ikleyn)