Basic counting principles and arrangements.
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Q1 · Permutations & Combinations · EASY
In how many different ways can the letters of the word 'POLICE' be arranged?
Q2 · Permutations & Combinations · MEDIUM
A police station has 8 constables. In how many ways can a team of 3 constables be selected for patrol duty?
Q3 · Permutations & Combinations · MEDIUM
How many 4-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6 without repetition?
Q4 · Permutations & Combinations · HARD
In how many ways can 5 men and 3 women be arranged in a row such that all the women sit together?
Q5 · Permutations & Combinations · MEDIUM
In how many ways can 5 students be seated in a row such that two particular students always sit together?