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Find each value. Us 3. P(7,4)

Find each value. Us\newline33. P(7,4) P(7,4)

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Full solution

Q. Find each value. Us\newline33. P(7,4) P(7,4)
  1. Calculate Factorials: Calculate P(7,4)P(7,4) using the permutation formula P(n,k)=n!(n−k)!P(n,k) = \frac{n!}{(n-k)!}.
  2. Find 7!7!: First, find 7!7! which is 7×6×5×4×3×2×17 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1.
  3. Calculate 3!3!: 7!7! equals 50405040.
  4. Divide Factorials: Now, calculate (7−4)!(7-4)!, which is 3!3!.
  5. Calculate Permutation: 3!3! equals 3×2×13 \times 2 \times 1, which is 66.
  6. Final Result: Divide 7!7! by 3!3! to get P(7,4)P(7,4). So, 5040÷65040 \div 6.
  7. Final Result: Divide 7!7! by 3!3! to get P(7,4)P(7,4). So, 5040÷65040 \div 6. The result is 840840. So, P(7,4)=840P(7,4) = 840.

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