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Evaluate.\newline3C2= _3C_2 = _____

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Full solution

Q. Evaluate.\newline3C2= _3C_2 = _____
  1. Combination formula for nCk: The combination formula for nCk, where `n` is the total number of items and `k` is the number of items to choose, is given by:nCk `= n! / (k! * (n-k)!)`Here, we need to calculate `3C2,` which means we have `3` items and we want to choose 2.
  2. Calculate factorial of `3:` First, we calculate the factorial of `3,` which is `3! = 3 × 2 × 1 =` 6.
  3. Calculate factorial of `2:` Next, we calculate the factorial of `2,` which is `2! = 2 × 1 =` 2.
  4. Calculate factorial of `(3-2):` We also need to calculate the factorial of `(3-2),` which is `1! =` 1.
  5. Plug values into combination formula: Now we can plug these values into the combination formula:`3C2 = 3! / (2! * (3-2)!)``3C2 = 6 / (2 *` 1)
  6. Perform division for final result: Perform the division to get the final result:`3C2 = 6 / 2``3C2 =` 3

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