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← JEE Main 2026 · 4 Apr · Shift 1
MathematicsSingle correct+4 / -1Question 8 of 75

JEE Main 2026 · 4 Apr · Shift 1, Mathematics question 8

The number of ways, of forming a queue of 4 boys and 3 girls such that all the girls are not together, is:

Choose one option
Answer and worked solution

Official answer: D

Complement. All arrangements 7!=50407!=5040. Girls all together: 5!⋅3!=7205!\cdot3!=720.

Answer 5040−720=43205040-720=4320.

(D)