# Thread: no. of ways arrange 11 cards

1. ## no. of ways arrange 11 cards

A game requires a player to pick some coloured cards which are indistinguishable except for their colour. There are 6 red, 4 blue and 2 yellow cards. Find the number of ways in which only 11 cards are arranged in a line

2. ## Re: no. of ways arrange 11 cards

Figured it out! Seperate into 3 cases whereby each colour is omitted.

$no. of ways=\frac{11!}{5!4!2!}+\frac{11!}{6!3!2!}+\frac{1 1!}{6!4!1!}=13860$

3. ## Re: no. of ways arrange 11 cards

Hello, punch!

Nice reasoning . . . Great work!