Answer: 680
Step-by-step explanation:
When order doesn't matter,then the number of combinations of choosing r things out of n =
Given: Total participants = 17
From these, a group of 3 participants is to be tested under a special condition.
Number of groups of 3 participants chosen =
Hence, there are 680 groups of 3 participants can be chosen,.
Answer:
There are 3,659,040 ways he can choose the books to put on the list.
Step-by-step explanation:
There are
12 novels
8 plays
12 nonfiction.
He wants to include
5 novels
4 plays
2 nonfiction
The order in which the novels, plays and nonfictions are chosen is not important. So we use the combinations formula to solve this problem.
is the number of different combinations of x objects from a set of n elements, given by the following formula.
How many ways can he choose the books to put on the list?
Novels:
5 from a set of 12. So
Plays:
4 from a set of 8. So
Nonfiction:
2 from a set of 12
Total:
Multiplication of novels, plays and nonfiction.
There are 3,659,040 ways he can choose the books to put on the list.