JEE MainMathematicsModeratePermutations and Combinations

Total number of ways in which 15 identical blankets can be
distributed among 4 persons so that each of them gets at least two
blankets, equal to

Show answer and solution

Let 4 persons receive

B_{1},B_{2},B_{3},B_{4}

number of
blankets

\therefore B_{1} + B_{2} + B_{3} + B_{4} = 15

\left\{ B_{1},B_{2},B_{3},B_{4} \geq 2 \right\}

Thus number of ways

= \ ^{10}C_{3}

Source: Grass-G / M-08 Mathematics Paper 23 October.docx

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