SOURCE

new Vue ({
    el: "#app",
    data: {
        items: ["one", "two", "three", "four", "five"]
    },
    methods: {
        randomColor: function () {
            return `hsl(${Math.floor(Math.random() * 360)}, 75%, 85%)`;
        }
    }
})

<div id="app">
    <div 
        class="item-style"
        v-for= "(item, index) in items"
        v-bind:style="{backgroundColor: randomColor()}"
        v-on:click="items.splice(index,1)">
        {{ item }}
    </div>
</div>

.item-style {
    margin-bottom:10px;
}