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📘 Topic: Permutations (Counting & Arrangement Problems)

Welcome to your 📘 Topic: Permutations (Counting & Arrangement Problems)

Number of 2-digit numbers using 0,1,2,3 without repetition:

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How many 3-digit numbers can be formed using digits 1–9 without repetition?

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If 4 boys stand in a row, but the tallest must be first, how many permutations?

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How many permutations of 9 items taken all 9?

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Number of ways to arrange letters of “BOOK”:

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How many permutations of 5 distinct books can be arranged on a shelf?

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In how many ways can 3 boys and 2 girls stand in a row if the girls must stand together?

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How many permutations of the letters in “BANANA” are there?

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How many ways can the letters of the word “LEVEL” be arranged?

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Number of ways to arrange letters of “SUCCESS”:

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How many ways can 8 different flags be arranged on a vertical pole?

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How many permutations of the word “APPLE” are possible?

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How many permutations of the digits 1,2,3,4,5 are divisible by 5?

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How many 4-letter words can be made from the letters of “MIRROR”?

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How many permutations exist for n distinct objects taken none at a time?

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How many ways can 6 students be arranged in a queue?

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Number of ways to arrange 7 objects in a circular manner:

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Number of ways to arrange digits 1–6 so that 1 is always before 2:

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Number of circular permutations of 5 people around a round table:

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If letters cannot repeat, how many 4-letter words can be formed from 8 letters?

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