How many ways?
Probability
Level
3
I invited 10 friends for a party. but I have only 5 chairs which I have arranged around a circular table. In how many ways can I arrange those 10 friends on 5 chairs, (independent of rotation)?
Note: In each chair there must be placed precisely one person.
1260
948
6048
2520
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1 solution
permutations and combinations. I have to select 5 friends from 10 so it becomes 10c5=252. now I have to arrange them on 5 chairs which are placed around a circular table. here,we have to fix position of 1 chair so that, with respect to that chair, the arrangement will be made. so the answer for arrangement is 4!. so after combining, total solution is 10c5*4!=6048