Question

In a library there are $20$ Latin and $6$ Greek books, in how many ways can a group of $5$ consisting of $3$ Latin and $2$ Greek books be placed on a shelf?

Answer 1

2 positions for Greeks books can be choosen in ${}^5{C}_2=10$ ways

Hence 5 books can be arranged in $10\times 6\times 5\times 20\times 19\times 18=2052000$ ways