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JEE Main · 2026 · 04 Apr 2026 · Shift 1 · Permutations and Combinations

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The number of ways, of forming a queue of 4 boys and 3 girls such that all the girls are not together, is:
  1. (A)5040
  2. (B)3050
  3. (C)3410
  4. (D)4320✓ Correct

Answer: (D)

Solution

The seven people can be queued in ways. Treating the three girls as one block gives arrangements with all girls together. Subtracting, the number of queues in which the girls are not all together is .

JEE Main · 2026 · 04 Apr 2026 · Shift 1 · Single correct option

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