Doubtnut Shiksha Yatra jaunpur - Prize Distribution

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Doubtnut family ab 5M strong hai

In how many ways can 4 prizes be distributed among 5 students, if no student gets all the prizes?

In how many ways can 4 prizes be distributed among 5 students,when No student gets more than one prize? A student may get any number of prizes? No student gets all the prizes?

In how many ways can 6 prizes be distributed among 4 students. If each student can receive more than one prize?

In how many ways can 5 prizes be distributed among 4 boys when every boy can take one or more prizes ?

In how many ways can 3 prizes be distributed among 4 boys, when (i) no boy gets more than 1 prizes , (ii) a boy may get any number of prizes, (iii) no boy gets all the prizes?

In how many ways can 3 prizes be distributed among 4 girls, when (i) no girl gets more than one prize? (ii) a girl may get any number of prizes? (iii) no girl gets all the prizes?

In how many different ways the following 5 prizes be distributed among 10 students? First and second in Mathematics; first and second in physics and first in Hindi.