If we have 3 identical white flowers and 6m identical red f…

Maths Permutations & Combination JEE (Main) / AIEEE Problems (Previous Years) Subjective Type

Published on: August 13, 2026

If we have 3 identical white flowers and 6m identical red flowers. Find the number of ways in which a garland can be made using all the flowers.

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The correct answer is:

CHECK THE SOLUTION.

3m 2 + 3m + 1

Sol. No. of garlands will be equal to no. of solutions of the equation

a 1 + a 2 + a 3 = 6m

with

Case I a 1 = a 2 = a 3 , so we have only one solution

Case II only two are equal, we have = 3m solutions

Case III If all are different, we have = 3m 2

Solution, so total no. of garlands will be 3m 2 + 3m + 1

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