Evaluate 11C7 and 9P3

Answer 1

To evaluate 11C7, we can use the combination formula:

11C7 = 11! / (7!(11-7)! )
= 11! / (7!4! )
= (11 * 10 * 9 * 8 * 7!) / (7! * 4 * 3 * 2 * 1)
= (11 * 10 * 9 * 8) / (4 * 3 * 2 * 1)
= 330

To evaluate 9P3, we can use the permutation formula:

9P3 = 9! / (9-3)!
= 9! / 6!
= (9 * 8 * 7 * 6!) / 6!
= (9 * 8 * 7)
= 504