To solve this, we use the concept of combinations to determine how many ways the gardener can pick exactly 2 roses out of 5 and 2 daisies out of 6.

Tue, 05 May 2026 14:45:19 +0000

**To solve this, we use the concept of combinations to determine how many ways the gardener can pick exactly 2 roses out of 5 and 2 daisies out of 6** In a quiet but growing conversation among garden lovers and landscape designers, a simple yet fascinating math question is reshaping how people approach seasonal planting: how many unique ways can a gardener select exactly 2 roses from 5 distinct varieties and 2 daisies from 6 available types? It’s a blend of nature, design, and arithmetic—proof that even garden planning involves thoughtful calculation. Recent trends show rising interest in curated, seasonal garden aesthetics, fueled by social media inspiration and a search for distinctive outdoor expression. People aren’t just choosing plants—they’re experimenting with combinations that balance beauty, color, and texture. This curiosity aligns with the elegant simplicity of combinatorial math, bringing clarity to planting choices that once felt vague and arbitrary. Using combination theory, we calculate the number of ways to pick 2 roses from 5. Mathematically, this is written as 5 choose 2, or C(5,2), which equals (5×4)/(2×1) = 10 distinct pairings. Similarly, choosing 2 daisies from 6 is 6 choose 2, or C(6,2), equaling (6×5)/(2×1) = 15 possible pairings. Multiplying these results—10 times 15—reveals there are 150 unique combinations of exactly 2 roses and 2 daisies. This precise count helps gardeners strategize richer, more intentional plant pairings beyond guesswork.