CAT 2017 Permutations and Combinations Question (Medium)

Question

In how many ways can 8 identical pens be distributed among Amal, Bimal, and Kamal so that Amal gets at least 1 pen, Bimal gets at least 2 pens, and Kamal gets at least 3 pens? TITA

Accepted Answer

Step 1 We need to distribute 8 identical pens among three people Amal gets at least 1, Bimal at least 2, and Kamal at least 3 pens. Let the number of pens given be Amal , Bimal , Kamal Subject to , with , , Step 2 Make a substitution to remove the lower bounds Let , , Then Now Step 3 Number of non-n

CAT 2017

Quantitative

Permutations and Combinations

Medium

In how many ways can 8 identical pens be distributed among Amal, Bimal, and Kamal so that Amal gets at least 1 pen, Bimal gets at least 2 pens, and Kamal gets at least 3 pens? [TITA]

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