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Find the number of ways in which 5 men can watch 4 movies

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firas92
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Find the number of ways in which 5 men can watch 4 movies [#permalink] New post   21 Jun 2019, 23:29
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Find the number of ways in which 5 men can watch 4 movies such that each movie is watched by at least one person and no one can watch more than one movie.

A. 150

B. 240

C. 360

D. 480

E. 120
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chetan2u
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Re: Find the number of ways in which 5 men can watch 4 movies [#permalink] New post   22 Jun 2019, 06:19
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firas92 wrote:
Find the number of ways in which 5 men can watch 4 movies such that each movie is watched by at least one person and no one can watch more than one movie.

A. 150

B. 240

C. 360

D. 480

E. 120


One way not to go wrong is to first get the persons in proper grouping..
So, get the way two people can be one group and rest all in single --- 5C2=10
Next we have persons in 2-1-1-1 groups and each such combination can watch 4 different movies in 4! ways..

Total ways = 5C2*4!=\(\frac{5*4}{2}*4!=10*24=240\)


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Re: Find the number of ways in which 5 men can watch 4 movies [#permalink] New post   28 Jun 2019, 01:48
total movie combination ; 4! ; 24
and choosing men at least 1 out of 5 ; 5c2; 10 ways
total possiblitiesl 24*10; 240
IMO B


firas92 wrote:
Find the number of ways in which 5 men can watch 4 movies such that each movie is watched by at least one person and no one can watch more than one movie.

A. 150

B. 240

C. 360

D. 480

E. 120
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ohmyshash
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Re: Find the number of ways in which 5 men can watch 4 movies [#permalink] New post   29 Jun 2019, 13:54
firas92 wrote:
Find the number of ways in which 5 men can watch 4 movies such that each movie is watched by at least one person and no one can watch more than one movie.

A. 150

B. 240

C. 360

D. 480

E. 120




Is this not a permutation question? 5*4*3*2 brought me to the same answer.
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Re: Find the number of ways in which 5 men can watch 4 movies [#permalink]
29 Jun 2019, 13:54
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