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10 questions from this quiz
8×7×6=3368 \times 7 \times 6 = 3368×7×6=336
n!n1!×n2!\frac{n!}{n_1! \times n_2!}n1!×n2!n!
333
6!×2!=14406! \times 2! = 14406!×2!=1440
Total arrangements minus forbidden ones
7!2!×2!=1260\frac{7!}{2! \times 2!} = 12602!×2!7!=1260
6!2!=360\frac{6!}{2!} = 3602!6!=360
6×5×4=1206 \times 5 \times 4 = 1206×5×4=120
When they must remain adjacent
5!2!+5!2!=120\frac{5!}{2!} + \frac{5!}{2!} = 1202!5!+2!5!=120
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