JEE 2023 Mathematics PYQ — If the number of words, with or without meaning, which can be mad… | Mathem Solvex | Mathem Solvex
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JEE 2023 — Mathematics PYQ
JEE | Mathematics | 2023
If the number of words, with or without meaning, which can be made using all the letters of the word MATHEMATICS in which C and S do not come together, is (6!)k, is equal to
Choose the correct answer:
A.
1890
B.
945
C.
2835
D.
5670
(Correct Answer)
Correct Answer:
5670
Explanation
Total number of words=2!2!2!11!
Number of words in which C and S are together=2!2!2!10!×2!
So, required number of words=2!2!2!11!−2!2!10!
=2!2!2!11×10!−2!2!10!
=2!2!10![211−1]=2!2!10!×29
=5670×6!
⇒k(6!)=5670×6!
⇒k=5670
Explanation
Total number of words=2!2!2!11!
Number of words in which C and S are together=2!2!2!10!×2!
