JEE Main 2026 — 5 April, Evening Shift — Question 33

(But in this questions not mentioned that balls are distinct/alike)? Blue - 5 Yellow - 6 Red - 4 Reqd. No. of ways $={ }^{5} \mathrm{C}_{2} \times{ }^{6} \mathrm{C}_{2} \times{ }^{4} \mathrm{C}_{4}+{ }^{5} \mathrm{C}_{2} \times{ }^{6} \mathrm{C}_{3} \times{ }^{4} \mathrm{C}_{3}+{ }^{5} \mathrm{C}_{2} \times{ }^{6} \mathrm{C}_{4} \times{ }^{4} \mathrm{C}_{2}$ $+{ }^{5} \mathrm{C}_{3} \times{ }^{6} \mathrm{C}_{2} \times{ }^{4} \mathrm{C}_{3}+{ }^{5} \mathrm{C}_{3} \times{ }^{6} \mathrm{C}_{3} \times{ }^{4} \mathrm{C}_{2}+{ }^{5} \mathrm{C}_{4} \times{ }^{6} \mathrm{C}_{2} \times{ }^{4} \mathrm{C}_{2}$ $=10 \times 15 \times 1+10 \times 20 \times 4+10 \times 15 \times 6+$ $10 \times 15 \times 4+10 \times 20 \times 6+5 \times 15 \times 6$ $=150+800+900+600+1200+450$ $=4100$