What is the point of 3 swing bowlers. We tried that once with Sidebottom, Hoggard and Anderson and it was a disaster. A captain should have a variety of bowlers to choose from as the weather and wicket change during the match. Five. Swing, seam, pace, bounce, spin.
Apart from spin, bowlers can be a combination of all of that. Richard Hadlee and Andrew Caddick being two of the best examples, of variable quality.
You can be quick, get bounce, swing the ball, and if you can swing it it goes without saying that you'll be able to move it off the seam too. The best bowlers mostly do.
Sidebottom has three of the four (sans pace); Steyn too has three (sans bounce); Morne Morkel has three as well (sans swing).
The likes of Ntini (bounce and seam) and Hoggard (seam and swing) have just two. Such bowlers are more common.
While getting bowlers who can offer three from four is a bonus (and all four virtually unheard of) you should not stereotype bowlers as one thing and nothing else.
You should also never, ever go into a game thinking "what if it doesn't swing", because such occasions are always in a minority. The only thing that can cause that is poor-quality cricket-balls. Swing is also something that anyone can learn to do to a good standard; pace and bounce are completely dependant on natural attributes (ie, a fast arm and tall height and long levers - much as these things can be maximised by good training).
You can only pick tall, quick bowlers if they're around, and this doesn't happen terribly often. Swing, being a much easier thing to learn by your own efforts, comes more regularly.
Vitally, bounce and pace of even the highest level are of little use without one of swing or seam. The inverse is not true to anywhere near the same extent.
You should not sacrifice quality swing-bowlers in favour of poor-quality bowlers who get bounce because you think you need more "variety".
Oh yeah - and spin. Most wickets don't call for spin, unless the spinner is of the quality of a Muttiah Muralitharan or Shane Warne. Which hardly any spinners are.