C(47, 7) = 47! / [7!(47-7)!]

asked by guest
on Mar 14, 2025 at 5:15 am



You asked:

Solve the equation C(47,7)=47!7!⋅(47−7)!C\left( 47, 7 \right) = \frac{47!}{7! \cdot \left( 47 - 7 \right)!} for the variable CC.

MathBot Answer:

This equation has no unknown quantities, so it is either true or false.

This equation is true because the left-hand side is equal to the right-hand side.

The left-hand side of the equation is:

C(47,7)=62891499C\left( 47, 7 \right) = 62891499

The right-hand side of the equation is:

47!7!⋅(47−7)!=62891499\frac{47!}{7! \cdot \left( 47 - 7 \right)!} = 62891499

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