Practice Questions on Permutation-Combination
Aptitude Questions and Answers

Moderate Permutation-Combination Question - 1

Q1.

A father with $8$ children takes $3$ children at a time to the zoological garden, as often as he can without taking the same $3$ children together more than once. Then:

A.

number of times he will go to zoological garden is $56$.

B.

number of times each child will go to the zoological garden is $21$.

C.

number of times a particular child will not go to the zoological garden is $35$.

D.

All of the above.

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Moderate Permutation-Combination Question - 2

Q2.

If the letters of the word $CHASM$ are rearranged to form $5$ letter words such that none of the word repeat and the results arranged in ascending order as in a dictionary what is the rank of the word $CHASM$?

A.

24

B.

31

C.

32

D.

30

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Moderate Permutation-Combination Question - 3

Q3.

In how many ways can $5$ different toys be packed in $3$ identical boxes such that no box is empty, if any of the boxes may hold all of the toys?

A.

20

B.

30

C.

25

D.

600

E.

480

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Moderate Permutation-Combination Question - 4

Q4.

What is the value of $1×1! + 2×2! + 3×3! + ............ n×n!$;

where $n!$ means $n$ factorial or $n(n-1)(n-2)...1$

A.

$n(n-1)(n-1)!$

B.

${(n+1)!}/{n(n-1)}$

C.

$(n+1)! - n!$

D.

$(n + 1)! - 1!$

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Moderate Permutation-Combination Question - 5

Q5.

When six fair coins are tossed simultaneously, in how many of the outcomes will at most three of the coins turn up as heads?

A.

$2^5$

B.

$41$

C.

$22$

D.

$42$

E.

$31$

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