Practice Questions on Permutation-Combination
Aptitude Questions and Answers

Moderate Permutation-Combination Question - 6

Q6.

A college has $10$ basketball players. A $5$-member team and a captain will be selected out of these $10$ players.

How many different selections can be made?

A.

$1260$

B.

$210$

C.

${^{10}C_6} × 6!$

D.

${^{10}C_5} × 6$

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Moderate Permutation-Combination Question - 7

Q7.

A $6\times 6$ grid is cut from an $8\times 8$ chessboard. In how many ways can we put two identical coins, one on the black square and one on a white square on the grid, such that they are not placed in the same row or in the same column?

A.

216

B.

324

C.

144

D.

108

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Moderate Permutation-Combination Question - 8

Q8.

How many four letter distinct initials can be formed using the alphabets of English language such that the last of the four words is always a consonant?

A.

${26^3} × 21$

B.

$26 × 25 × 24 × 21$

C.

$25 × 24 × 23 × 21$

D.

$\text{None of these}$

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Moderate Permutation-Combination Question - 9

Q9.

What is the total number of ways in which Dishu can distribute $9$ distinct gifts among his $8$ distinct girlfriends such that each of them gets at least one gift?

A.

$72 × 8!$

B.

$144 × 8!$

C.

$36 × 8!$

D.

$9!$

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Moderate Permutation-Combination Question - 10

Q10.

How many number of times will the digit $7$ be written when listing the integers from $1$ to $1000$?

A.

271

B.

300

C.

252

D.

304

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