2013 MI P2 Q6

Timothy Gan

2013 MI P2 Q6

Six identical boxes are arranged in $3$ rows as shown in the following diagram.

2013 MI P2 Q6

Sandra is given $1$ green, $2$ blue and $3$ red balls. The balls are identical except for their colour. She is to put one ball in each box. Find the number of ways she can do this when

(i)

there is no restriction,

[2]

(ii)

the balls in the bottom row are of different colours,

[2]

(iii)

there are at least $2$ red balls in the bottom row.

[3]

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Published: 29th March 2023

Written by

Timothy Gan

This is Tim. Tim loves to teach math. Tim seeks to improve his teaching incessantly! Help Tim by telling him how he can do better.

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