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20 p 3 19 p 3
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\( ^{20}P_3 - ^{19}P_3 = \)
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The identity \(^nP_r - ^{n-1}P_r = r \cdot ^{n-1}P_{r-1}\) is a useful shortcut for simplifying differences of permutations. It arises from considering whether the nth object is included in the permutation or not.
TS EAMCET - 2025
TS EAMCET
Updated On:
Mar 30, 2026
\( ^{19}P_4 \)
\( 4(^{19}P_4) \)
\( 5!(646) \)
\( 6!(646) \)
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The Correct Option is
D
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