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8 November, 02:13

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?

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Answers (1)
  1. 8 November, 05:35
    0
    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
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