exam Maths Puzzle

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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exam Other Question
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): 37C4 , (ii): 14C2×23C2

B.

(i): 37P4 , (ii): 14P2×23P2

C.

(i): 37P4 , (ii): 14C2×23C2

D.

(i): 37C4 , (ii): 14P2×23P2 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