All the words that can be formed using alphabets $$A, H, L, U$$ and $$R$$ are written as in a dictionary (no alphabet is repeated). Rank of the word $$RAHUL$$ is
A.
71
B.
72
C.
73
D.
74
Answer :
74
Solution :
No. of words starting with $$A$$ are $$4 ! = 24$$
No. of words starting with $$H$$ are $$4 ! = 24$$
No. of words starting with $$L$$ are $$4 ! = 24$$
These account for 72 words
Next word is $$RAHLU$$ and the $$74^{th}$$ word $$RAHUL.$$
Releted MCQ Question on Algebra >> Permutation and Combination
Releted Question 1
$$^n{C_{r - 1}} = 36,{\,^n}{C_r} = 84$$ and $$^n{C_{r + 1}} = 126,$$ then $$r$$ is:
Ten different letters of an alphabet are given. Words with five letters are formed from these given letters. Then the number of words which have at least one letter repeated are
Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First the women choose the chairs from amongst the chairs marked 1 to 4 ; and then the men select the chairs from amongst the remaining. The number of possible arrangements is