1.) there are 16 juniors and 8 seniors in the chess club. if the club members decide to send 9 juniors to a tournament, how many different possibilities are there? 2.) how many different ways can 3 cards be drawn from a deck of 52 cards without replacement? 3.) how many different ways can 3 cards be drawn from a deck of 52 cards with replacement? 4.) a corporation has 5 officers to choose from which 3 are selected to comprise the board of directors. how many combinations are there? 5.) a combination lock has the numbers 1 to 40 on each of three consecutive tumblers. what is the probability of opening the lock in ten tries?

1.) There are 16 juniors and 8 seniors in the Chess Club. If the club  members decide to send 9 juniors to a tournament, how many different  possibilities are there?  

(16 over 9) = 16!/(9!*7!) = 11440

2.) How many different ways can 3 cards be drawn from a deck of 52  cards without replacement?  

52*51*50 = 132600

3.) How many different ways can 3 cards be drawn from a deck of 52  cards with replacement?  

52^3 = 140608

4.) A corporation has 5 officers to choose from which 3 are selected  to comprise the board of directors. How many combinations are there?

(5 over 3) = 5!/(3! * 2!) = 10

5.) A combination lock has the numbers 1 to 40 on each of three  consecutive tumblers. What is the probability of opening the lock in  ten tries?

10/40^3 = 1/6400

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8

alright well the answers to your question is

2xy/9 hope this have a nice day : )

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