a) 3780
b) 1890
c) 7560
d) 2520
Answer: c
Explanation: The given word contains 9 letters, namely 4A, 2L, 1H, 1B and 1D.
∴ Required number of ways
$$\eqalign{
& = \frac{{9!}}{{4! \,2! \,1! \,1! \,1!}} \cr
& = \frac{{9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}}{{4 \times 3 \times 2 \times 1 \times 2}} \cr
& = 7560 \cr} $$
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