exam Maths Puzzle

Six boxes are numbered 1,2,34,5 and 6. Each box must contain either a white ball or a black ball. At least one box must contain a black ball and boxes containing black balls must be consecutively numbered. find the total number of ways of placing the balls.

A.

15

B.

20

C.

21

D.

36

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exam Other Question

In a certain laboratory, chemicals are identified by a colour-coding system. There are 20 different chemicals. Each one is coded with either a single colour or a unique two-colour pair. If the order of colours in the pairs does not matter, what is the minimum number of different colours needed to code all 20 chemicals with either a single colour or a unique pair of colours?

A.

7

B.

6

C.

5

D.

8
In how many ways can 6 green toys and 6 red toys be arranged, such that 2 particular red toys are never together whereas 2 particular green toys are always together?

A.

11! × 2!

B.

9! × 90

C.

4 × 10!

D.

18 × 10!