Practice Questions on Permutation-Combination
Aptitude Questions and Answers

Moderate Permutation-Combination Question - 31

Q31.

How many words of 4 consonants and 3 vowels can be made from 12 consonants and 4 vowels, if all the letters are different?

A.

${^{16}C_7} × 7!$

B.

${^{12}C_4}×{^4C_3}×7!$

C.

${^{12}C_3} × {^4C_4}$

D.

${^{12}C_4} × {^4C_3}$

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Moderate Permutation-Combination Question - 32

Q32.

A local delivery company has three packages to deliver to three different homes.

If the packages are delivered at random to the three houses, how many ways are there for at least one house to get the wrong package?

A.

$3$

B.

$5$

C.

$3!$

D.

$5!$

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Moderate Permutation-Combination Question - 33

Q33.

How many natural numbers less than a lakh can be formed with the digits 0, 6 and 9?

A.

242

B.

243

C.

728

D.

729

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Moderate Permutation-Combination Question - 34

Q34.

There are 20 couples in a party. Every person greets every person except his or her spouse. People of the same sex shake hands and those of opposite sex greet each other with a namaskar (It means bringing one's own palms together and raising them to the chest level).

What is the total number of handshakes and namaskar's in the party?

A.

$760$

B.

$1,140$

C.

$780$

D.

$720$

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Moderate Permutation-Combination Question - 35

Q35.

In how many ways can a leap year have 53 Sundays?

A.

$^{365}C_7$

B.

$7$

C.

$4$

D.

$2$

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