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The number of words that can be formed using all the letters of the word REGULATIONS such that `G` must come after `R`, `L` must come after `A`, and `S` must come after `N` areA. `11!//8`B. `11!`C. `"^(11)P_(6)`D. none of these |
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Answer» Correct Answer - A `(a)` The other five letters (other than `G`, `R`, `L`, `A`, `S`, `N`) in `11` places can be arranged in `"^(11)P_(5)` ways. Then three remains six places. Choose two of them in `"^(6)C_(2)` ways. In these places we can put `G`, `R` only `(i)` one way. Similarly others. `:.` Required no. of ways `="^(11)P_(5)xx^(6)C_(2)xx^(4)C_(2)xx^(2)C_(2)=11!//8` |
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