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Q.

Number of terms in the expansion ${(a + b + c + \dots + z)}^{n}$ are

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a

$^{n + 25} C_{24}$

b

$^{26} C_{25}$

c

$^{n + 25} C_{26}$

d

$^{n + 25} C_{25}$

answer is A.

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Detailed Solution

${(x_{1} + x_{2} + \dots + x_{r})}^{n} =^{n + r - 1} C_{r - 1}$

$∴$ Required number of terms $=^{n + 26 - 1} C_{26 - 1} =^{n + 25} C_{25}$

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