Practice Questions on Permutation-Combination
Aptitude Questions and Answers

Difficult Permutation-Combination Question - 16

Q16.

Suppose you have a currency, named Miso, in three denominations: 1 Miso, 10 Misos and 50 Misos. In how many ways can you pay a bill of 107 Misos?

A.

16

B.

17

C.

18

D.

19

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Difficult Permutation-Combination Question - 17

Q17.

How many factors of $2^4 × 5^3 × 7^4$ are odd numbers?

A.

$20$

B.

$24$

C.

$30$

D.

$36$

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Difficult Permutation-Combination Question - 18

Q18.

In how many ways can a selection of 5 letters be made out of  $5A$'s, $4B$'s, $3C$'s, $2D$'s and $1E$'s?

A.

$70$

B.

$71$

C.

${^{15}C_5}$

D.

${^{15}P_5}$

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Difficult Permutation-Combination Question - 19

Q19.

Ten points are marked on a straight line and eleven points are marked on another straight line. How many triangles can be constructed with vertices from among the above points?

A.

495

B.

550

C.

1045

D.

2475

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Difficult Permutation-Combination Question - 20

Q20.

For a scholarship, at most n candidates out of $2n + 1$ can be selected. If the number of different ways of selection at least one candidate is 63, the maximum number of candidates that can be selected for the scholarship is:

A.

2

B.

3

C.

4

D.

5

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