Read the given statements carefully and select the
correct option.
Statement-1: The number of ways of distributing
10 identical balls in 4 distinct boxes such that no box
is empty is
[tex] ^{9} c_{3}.[/tex]
Statement - 2: The number of ways of choosing any
3 places from 9 different places is
[tex] ^{9} c_{3}.[/tex]
..
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correct option.
Statement-1: The number of ways of distributing
10 identical balls in 4 distinct boxes such that no box
is empty is
[tex] ^{9} c_{3}.[/tex]
Statement - 2: The number of ways of choosing any
3 places from 9 different places is
[tex] ^{9} c_{3}.[/tex]
..
[tex]\huge{\fbox{\fbox{\orange{AmswerPlease}}}}[/tex]
[tex]\huge{\fbox{\fbox{\pink{ExplanationRequired}}}}[/tex]
[tex]<b>❗️❗️Please Answer my question. Warning ⚠ It will be verified ☑ by brainly experts ❗️❗️</b>[/tex]
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ANSWER
both statements are true
1. in 1st statement
the number of ways of distributing m identical things among n different things
such that each person gets at least one object same as the number of ways of selecting (r-1) places out of (n-1)
is
n-1Cr-1
in objective type questions used it directly for distribute n identical things among m persons or among m boxes such that at least one is filled
2. we have to select ( combination) 3 places from 9 places
9c3
note :- if we have to apply beggers method then in this case the cases when 1 box is pty and other two filled etc also occur .
hope it helps
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