Question

Find the value of each expression. Show your work.
10^C^4

Answer 1

`_nC_r = (n!)/((n - r)!r!)`

`_1_0C_4 = (10!)/((10 - 4)!4!)`

`_1_0C_4 = (10!)/(6!4!)`

`_1_0C_4 = (10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)/(6 * 5 * 4 * 3 * 2 * 1 * 4 * 3 * 2 * 1)`

`_1_0C_4 = (10 * 9 * 8 * 7)/(4 * 3 * 2 * 1)`

`_1_0C_4 = (90 * 56)/(12 * 2)`

`_1_0C_4 = (5040)/(24)`

`_1_0C_4 = 210`