Practice Questions on Permutation-Combination
Aptitude 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.

$\text{None of these}$

 View Ans

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.

$240$

 View Ans

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.

$4 × 3^5$

 View Ans

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.

$\dfrac{5!}{2}$

 View Ans

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.

$602$

 View Ans
Hide
 
 
 

Number formats

Decimals
Lofoya.com   2017

You may drag this calculator