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Permutations and Combinations
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Flashcards
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How many unique ways can 5 different books be arranged on a shelf?
120 ways
How many different ways can a 7-member delegation be arranged in a single file for a photo?
5,040 ways
How many combinations of toppings can be chosen for a pizza if there are 7 toppings available and you can choose up to 3?
64 combinations
If there are 8 runners in a race, how many ways can the gold, silver, and bronze medals be awarded?
336 ways
How many anagrams can be formed from the letters of the word 'BANANA'?
60 anagrams
How many 3-digit numbers can be made using the digits 1, 2, 3, 4, 5, if no repetition is allowed?
60 numbers
How many different 4-digit PIN codes can be created using the numbers 0 through 9 if numbers can be repeated?
10,000 PIN codes
How many 2-letter words can be formed with the letters A, B, C, with repetition allowed?
9 words
How many distinct ways can the letters of the word 'LEVEL' be arranged?
60 ways
How many ways can a photographer arrange 10 models in 5 different poses?
30,240 ways
How many unique sets of 3 colors can be made from 5 different colors?
10 sets
How many ways can a committee of 4 be formed from a pool of 12 candidates?
495 ways
How many ways can you arrange 6 out of 9 books on a shelf?
60,480 ways
In how many ways can a president, vice-president, and treasurer be chosen from a group of 10 people?
720 ways
How many ways can 8 people be seated in a row of 8 seats at the cinema?
40,320 ways
How many different signals can be made by arranging 3 flags in order from a set of 6 different flags?
120 signals
How many ways can a teacher assign 5 different books to 5 students if every student must receive exactly one book?
120 ways
How many possible four-character license plates can be made if the first two characters must be letters and the last two must be numbers, with repetition allowed?
67600 plates
How many different ways can you choose a group of 3 starters from a basketball team of 10 players?
120 ways
In a standard deck of 52 cards, how many ways can you draw a hand of 5 cards?
2,598,960 ways
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