At a funfair game store, $3$ red, $2$ blue, $1$ white, $1$ yellow, and $1$ green beads are being arr

Question

At a funfair game store, $3$ red, $2$ blue, $1$ white, $1$ yellow, and $1$ green beads are being arranged. The beads are identical apart from their colours. Find the number of ways to arrange all the beads in a row with all the red beads separated. [2] Five beads, one of each colour, are strung together to form a rigid ring. Find the number of distinct rings that can be formed. [2] At another game store, the letters of the word INITIATE are being arranged in a row instead. Find the probability that all the letters are used and the letters A, E, and N are arranged in alphabetical order. [2]

Accepted Answer

(i) $1200$ (ii) $12$ Probability $\dfrac16$

2019 RVHS P2 Q6

2019 RVHS P2 Q6

Video Solution:

Solution:

Solution locked