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Permutations and Combinations question

2023 · 8 Apr · Shift 2 · Q30
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  5. /2023 · 8 Apr · Shift 2 · Q30

Permutations and Combinations question

2023 · 8 Apr · Shift 2 · Q30

JEE MainMathematicsPermutations and CombinationsMCQ+4 / −1
If the number of words, with or without meaning, which can be made using all the letters of the word MATHEMATICS in which C\mathrm{C}C and S\mathrm{S}S do not come together, is (6!)k(6 !) \mathrm{k}(6!)k, then k\mathrm{k}k is equal to :
  1. A
    5670
  2. B
    1890
  3. C
    2835
  4. D
    945
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