Coin Change Problem solution in JS (#2132)

Coin_Change/Coin_Change.js

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+/*
+The Coin Change problem states that given an amount N, how
+many possible ways are there to make the desired change using
+unlimited supply of coins of given denominations.
+*/
+
+const coinChange = (denominations, amount) => {
+
+    //make an array of length amount+1 and initialize with 0
+    let dp_Definition = Array.from({ length: amount + 1 }, () => 0);
+
+    //setting the base case for the definition
+    dp_Definition[0] = 1;
+
+    for (let i = 0; i < denominations.length; i++) {
+        for (let j = denominations[i]; j < amount + 1; j++) {
+            dp_Definition[j] += dp_Definition[j - denominations[i]]
+        }
+    }
+    return dp_Definition[amount];
+}
+
+// I/O , O/P Examples
+
+console.log(coinChange([1, 5, 10, 25], 1)); //1
+console.log(coinChange([1, 5, 10, 25], 2)); //1
+console.log(coinChange([1, 5, 10, 25], 5)); //2
+console.log(coinChange([1, 5, 10, 25], 25)); //13
+