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1) Twelve drugs have been found to be effective in the treatment of a disease. I

ID: 3126609 • Letter: 1

Question

1) Twelve drugs have been found to be effective in the treatment of a disease. It is believed that the sequence in which the drugs are administered is important to the effectiveness of the treatment. In how many different sequences can 5 of the 12 drugs be administered?

2) Five cards are chosen from an ordinary deck to form a hand in poker. In how many ways is it possible to get the following?
(a) 4 queens
(b) No face cards
(c) Exactly 2 face cards
(d) At least 2 face cards
(e) 1 heart, 2 diamonds, and 2 clubs

3) The probability of a mutation of a given gene under a dose of 1 Roentgen of radiation is approximately 2.5x107. What is the probability that in 10000 genes, at least 1 mutation occurs.

Explanation / Answer

1.

As order matters, we use permutations. Hence, there are

12P5 = 12! /(12-5)! = 12!/7! = 95040 ways [ANSWER]

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