Four different movies are running in a town. Ten students go to watch these four movies. The number of ways in which every movie is watched by atleast

Question

Four different movies are running in a town. Ten students go to watch these four movies. The number of ways in which every movie is watched by atleast

Four different movies are running in a town. Ten students go to watch these four movies. The number of ways in which every movie is watched by atleast one student, is (Assume each way differs only by number of students watching a movie)
A. `68`
B. `72`
C. `84`
D. `104`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - C
`(c )` Let four different movies are watched by `x,y,z` and `w` students.
`:. X+y+z+t=10`
Since each movie is watched by atleast one student,
Number of ways `=` number of positive integral solution of equation `(i)`
Hence `=^(9)C_(3)=84`

5 views Answered 2023-02-05 15:29