Question

Find the value of 17C3
680
12,376
2,380
54

Answer 1

680

Explanation:

Using the definition

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

where n! = n(n - 1)(n - 2)...... × 3 × 2 × 1

17
`C_(3)`

=
`(17!)/(3!(14)!)`

Cancel the multipliers of 14 × 13 ×...... on the numerator with 14! on denominator.

=
`(17(16)(15))/(3(2)(1))`

=
`(4080)/(6)`

= 680

Answer 2

54 because I don't know I can't explain