Practice Problems1. Two cards are drawn at random from a standard deck of 52 cards, without
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2. How many different 5-letter arrangements are there of the letters in the word digit ?
= 5·4·3·2·1 = 120
2·1 2 ( i repeats twice) = 60 4. How many different 4 letter words can be formed from the letters in the word MATH ?
24
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3. If the letters in the word TRIANGLE are rearranged at random, find the probability that the first letter is an A
Solution:
= 1 · 7 · 6 · 5 · 4 ·3 · 2 ·1 = 1 8 · 7 ·6 · 5 · 4 · 3 · 2 · 1 8 5. There are 12 horses in a horseshow competition. The top three winning horses receive money. How many possible money winning orders are there for a competition with 12 horses?
1320
Explanation: This is a permutation of "12 things taken 3 at a time" 12P3= 12 x 11 x 10 = 1320 |
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