# Practice Questions on Permutation-CombinationAptitude Questions and Answers

## Moderate Permutation-Combination Question - 41

 Q41. Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
 A. $2^{10}$ B. $2^9$ C. $3 × 2^8$ D. $\text{None of these}$

## Moderate Permutation-Combination Question - 42

 Q42. There are 5 Rock songs, 6 Carnatic songs and 3 Indi pop songs. How many different albums can be formed using the above repertoire if the albums should contain at least 1 Rock song and 1 Carnatic song?
 A. $15,624$ B. $16,384$ C. $6,144$ D. $240$

## Moderate Permutation-Combination Question - 43

 Q43. A book-shelf can accommodate 6 books from left to right. If 10 identical books on each of the languages $A,B,C$ and $D$ are available, In how many ways can the book shelf be filled such that book on the same languages are not put adjacently.
 A. $\dfrac{^{40}P_6}{6!}$ B. $10 × 9^5$ C. $\dfrac{^6P_4}{2!}$ D. $4 × 3^5$

## Moderate Permutation-Combination Question - 44

 Q44. In how many ways can the letters of the word $ABACUS$ be rearranged such that the vowels always appear together?
 A. $\dfrac{6!}{2}$ B. $3! × 3!$ C. $\dfrac{4!}{2}$ D. $\dfrac{4! × 3!}{2!}$ E. $\dfrac{5!}{2}$

## Moderate Permutation-Combination Question - 45

 Q45. If the letters of the word $SACHIN$ are arranged in all possible ways and these words are written out as in dictionary, then the word $SACHIN$ appears at serial number:
 A. $601$ B. $600$ C. $603$ D. $602$
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