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JEE MATHEMATICS MCQ: PERMUTATIONS

1 Easy
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Analyzing +4 | -1
Consider the following statement:

1.The number of ways of arranging m different things taken all at a time in which p⩽mp \leqslant m perticular things are never together is m!−(m−p+1)!p!m! - \left( {m - p + 1} \right)!p!

2. A pack of 52 cards can be divided equally among four players in order in 52!(13!)4\frac{{52!}}{{{{\left( {13!} \right)}^4}}} ways

Which of these is/are correct?
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Correct option: C
Both of these
Both statements are correct. Statement 1 correctly describes the number of arrangements where p particular things are never together, and statement 2 accurately represents the number of ways to divide a deck of cards equally among four players.

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