⁵C₅+⁵C₄+⁵C₃ এর মান কোনটি?

Explanation:

⁵C₅+⁵C₄+⁵C₃=16

Another Explanation (5): ⁵C₅+⁵C₄+⁵C₃ -এর মান নির্ণয়: আমরা জানি, ⁿC_r = \(\frac{n!}{r!(n-r)!}\) সুতরাং, ⁵C₅ = \(\frac{5!}{5!(5-5)!}\) = \(\frac{5!}{5!0!}\) = \(\frac{5!}{5! \cdot 1}\) = 1 😮 ⁵C₄ = \(\frac{5!}{4!(5-4)!}\) = \(\frac{5!}{4!1!}\) = \(\frac{5 \times 4!}{4! \cdot 1}\) = 5 😄 ⁵C₃ = \(\frac{5!}{3!(5-3)!}\) = \(\frac{5!}{3!2!}\) = \(\frac{5 \times 4 \times 3!}{3! \cdot 2 \times 1}\) = \(\frac{5 \times 4}{2}\) = 10 😊 অতএব, ⁵C₅+⁵C₄+⁵C₃ = 1 + 5 + 10 = 16 🤩