Practice Questions on Permutation-Combination
Aptitude Questions and Answers

Easy Permutation-Combination Question - 11

Q11.

The letter of the word $LABOUR$ are permuted in all possible ways and the words thus formed are arranged as in a dictionary. What is the rank of the word $LABOUR$?

A.

275

B.

251

C.

240

D.

242

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Easy Permutation-Combination Question - 12

Q12.

There are fourteen juniors and twenty-three seniors in the Service Club. The club is to send four representatives to the State Conference.

(i)- How many different ways are there to select a group of four students to attend the conference?

(ii)- If the members of the club decide to send two juniors and two seniors, how many different groupings are possible?

A.

(i): ${^{37}C_4}$ , (ii): ${^{14}C_2}×{^{23}C_2}$

B.

(i): ${^{37}P_4}$ , (ii): ${^{14}P_2}×{^{23}P_2}$

C.

(i): ${^{37}P_4}$ , (ii): ${^{14}C_2}×{^{23}C_2}$

D.

(i): ${^{37}C_4}$ , (ii): ${^{14}P_2}×{^{23}P_2}$

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Easy Permutation-Combination Question - 13

Q13.

A class photograph has to be taken. The front row consists of 6 girls who are sitting. 20 boys are standing behind.

The two corner positions are reserved for the 2 tallest boys. In how many ways can the students be arranged?

A.

6! × 1440

B.

18! × 1440

C.

18! ×2! × 1440

D.

None of these

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Easy Permutation-Combination Question - 14

Q14.

If $5 × {^nP_3} = 4 × {^{n+1}P_3}$ find $n$?

A.

10

B.

12

C.

11

D.

14

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Easy Permutation-Combination Question - 15

Q15.

Ten different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, the number of words which have at least one letter repeated is:

A.

69760

B.

30240

C.

99748

D.

42386

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