nPr
A couple with their three children are to pose for a family picture. In how ways can they be arranged in a row if:
(a) they can take any position?
120
A couple with their three children are to pose for a family picture. In how ways can they be arranged in a row if: the mother and the father stay at both ends?
12
7!
5040
There are 12 athletes joining the Baguio Marathon Event. How many ways can the first, second, and third placers be chosen?
1320
Five boys and four girls are to arrange themselves to form a line. How many arrangements can there be if: the boys and the girls stand alternately?
2880
5!
120
Five boys and four girls are to arrange themselves to form a line. How many arrangements can there be if:
(a) the boys stand together, and the girls stand together?
5760
There are 10 participants to a barangay meeting to talk about safety measures to be implemented during the pandemic. In how many ways can these 10 barangay participants arrange themselves in a row if three of them should stay together?
241,920