Question

Look for (_10^)C_4

Answer 1

₁₀C₄ =
`(10!)/((10 - 4)!4!)`
₁₀C₄ =
`(10!)/(6!4!)`
₁₀C₄ =
`(10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)/(6 * 5 * 4 * 3 * 2 * 1 * 4 * 3 * 2 * 1)`
₁₀C₄ =
`(10 * 9 * 8 * 7)/(4 * 3 * 2 * 1)`
₁₀C₄ =
`(90 * 56)/(12 * 2)`
₁₀C₄ =
`(5040)/(24)`
₁₀C₄ = 210