Grate the carrots very coarsely, push them through the french-fry cutter in the processor, or just cut them into skinny batons.
In a bowl, combine them with the peanuts and then add the remaining ingredients.
I like to eat this, straight out of the Pyrex pudding basin I mix it in, held up high, under my chin, for ease of eating-action. In fact, the only way I stop eating it is by having someone prise the bowl out of my hands.