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Beyond Horizon Set 1 Paper 1 · Q8

Paper 1Probability

There are seven greeting cards, each of a different colour, and seven envelopes of the same seven colours. The number of ways in which the cards can be put in the envelopes, so that exactly four of the cards go into the envelopes of the right colours, is

A(73)\binom{7}{3}
B2(73)2\binom{7}{3}
C(3!)(43)(3!)\binom{4}{3}
D(3!)(73)(43)(3!)\binom{7}{3}\binom{4}{3}
E(3!)(73)(3!)\binom{7}{3}
F(4!)(73)(4!)\binom{7}{3}

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