120 pianists compete in a piano competition. (a) in the first round, 30 of the 120 are selected to go on to the next round. how many different outcomes are there for the first round? (b) in the second round, the judges select the first, second, third, fourth and fifth place winners of the competition from among the 30 pianists who advanced to the second round. how many outcomes are there for the second round of the competition?

Step-by-step explanation:

Given

There are 120 Pianist in a competition

(a)In first round 30 pianist is selected

this can be done in

(b)In the second round 5 pianist is selected out of 30

this can be doe by

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.