Practice Questions on Permutation-Combination
Aptitude Questions and Answers

Difficult Permutation-Combination Question - 6

Q6.

In how many rearrangements of the word $AMAZED$, is the letter $E$ positioned in between the 2 $A$s (Not necessarily flanked)?

A.

$24$

B.

$72$

C.

$120$

D.

$240$

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Difficult Permutation-Combination Question - 7

Q7.

$a, b, c$ are three distinct integers from 2 to 10 (both inclusive). Exactly one of $ab, bc$ and $ca$ is odd.

$abc$ is a multiple of 4. The arithmetic mean of $a$ and $b$ is an integer and so is the arithmetic mean of $a, b$ and $c$.

How many such triplets are possible (unordered triplets)

A.

$4$

B.

$5$

C.

$6$

D.

$7$

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Difficult Permutation-Combination Question - 8

Q8.

Bob is about to hang his 8 shirts in the wardrobe. He has four different styles of shirt, two identical ones of each particular style.

How many different arrangements are possible if no two identical shirts are next to one another?

A.

764

B.

864

C.

964

D.

1064

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Difficult Permutation-Combination Question - 9

Q9.

If $F(x, n)$ be the number of ways of distributing $x$ toys to $n$ children so that each child receives at the most $2$ toys then $F(4, 3) =$ _______?

A.

$3$

B.

$4$

C.

$5$

D.

$6$

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Difficult Permutation-Combination Question - 10

Q10.

There are $6$ boxes numbered $1, 2,...6$. Each box is to be filled up either with a red or a green ball in such a way that at least $1$ box contains a green ball and the boxes containing green balls are consecutively numbered.

The total number of ways in which this can be done is:

A.

5

B.

21

C.

33

D.

27

E.

60

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