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Explanation:

Selecting 3 males from 8 and 4 females from 7 can be done in 8C3 × 7C4 = 56 × 35 = 1960

Raj and Rani together cannot be in the committee.

Selection of both Raj and Rani can happen in 7C2 × 6C3 = 21 × 20 = 420

Required number of ways = 1960 – 420 = 1540

Hence, option (c).

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