# Practice Questions on Permutation-CombinationAptitude 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. ${^{10}C_5} × 6$

## 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

## 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. $\text{None of these}$

## 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. $9!$

## 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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