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Fill in the Blanks

The largest coefficient in the expansion of (1 + x)^{30} is ______.

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#### Solution

The largest coefficient in the expansion of (1 + x)^{30} is ** ^{30}C_{15}**.

**Explanation:**

Here n = 30 which is even

∴ The largest coefficient in (1 + x)^{n} = `""^n"C"_(n /2)`

So, the largest coefficient in (1 + x)^{30} = ^{30}C_{15}

Hence, the value of the filler is ^{30}C_{15}.

Concept: Proof of Binomial Therom by Combination

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