1
Question
Number of permutation of 10 different objects taken all at a time in which particular 4 never comes together
Number of permutation of 10 different objects taken all at a time in which particular 4 never comes together
Open in App
Solution
The correct option is D 10!−7!4!
We are given 10 different object.the number of permutations of 10 different objects taken all at a time in which particular 4 never comes together=Total number of permutations of the 10 different objects taken all at a time-permutations when the 4 come together.
Now, the number of permutations of 10 different objects =10!Now, find the permutations when the 4 come together. For this we treat the 4 as a single combined object, so then total number of objects =10−4+1=7Now the number of permutations of these 7 different objects=7!and now since there are 4 different objects here, so the total number of permutations when the 4 objects come together=4!7!So the required permutations10!−4!7!
We are given 10 different object.
the number of permutations of 10 different objects taken all at a time in which particular 4 never comes together=Total number of permutations of the 10 different objects taken all at a time-permutations when the 4 come together.
Now, the number of permutations of 10 different objects =10!
Now, find the permutations when the 4 come together. For this we treat the 4 as a single combined object, so then total number of objects =10−4+1=7
Now the number of permutations of these 7 different objects=7!
and now since there are 4 different objects here, so the total number of permutations when the 4 objects come together=4!7!
So the required permutations10!−4!7!
Suggest Corrections
0
Similar questions
View More
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program
