Question: A person will randomly select 5 cards from a deck of 52 cards. Each card is uniquely identified by a label which is a combination

A person will randomly select 5 cards from a deck of 52 cards. Each card is uniquely identified by a label which is a combination of a letter (one of the following: C, D, H, S) followed by a number (one of the following: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13). The labels on the cards are C1, C2, C3, C4, C5, C6, C7, C8, C9, C10, C11, C12, C13, D1, D2, D3, D4, D5, D6, D7, D8, D9, D10, D11, D12, D13, H1, H2, H3, H4, H5, H6, H7, H8, H9, H10, H11, H12, H13, S1, S2, S3, S4, S5, S6, S7, S8, S9, S10, S11, S12, S13. What is the probability that the five cards have 4 different number (two cards have the same number and three other cards have three other different numbers)?

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