Evan has ${15}$ toy bricks of which ${5}$ are red, ${4}$ are blue, ${4}$ are yellow and

Question

Evan has ${15}$ toy bricks of which ${5}$ are red, ${4}$ are blue, ${4}$ are yellow and ${2}$ are green. The bricks of the same colour are identical. Find the number of ways in which Evan can choose ${2}$ bricks of different colours.[1] Find the number of ways in which Evan can choose ${3}$ bricks.[3] The table below shows the amount of money Evan paid for each type of bricks. The green bricks are given to him as free gifts. Colour of bricksRedBlueYellowGreen Price paid per brick\$$\text{3}$\$$\text{2}$\$$\text{1}$Free Evan randomly chooses ${4}$ bricks from his ${15}$ toy bricks and gives them to his friend. The bricks of the same colour are now considered to be non-identical. Find the number of ways in which he chooses $\$8$ worth of bricks.[3]

Accepted Answer

(i) $6$ (ii) $19$ (iii) $261$

2023 JPJC P2 Q7

2023 JPJC P2 Q7

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