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The number of distinct terms in the expa...

The number of distinct terms in the expansion of `(x+y^(2))^(13)+(x^(2)+y)^(14)` is (a) 27 (b) 29 (c) 28 (d) 25

A

`27`

B

`29`

C

`28`

D

`25`

Text Solution

Verified by Experts

The correct Answer is:
C
`(c )` To get common terms in both the expansions
`x^(r_(1))(y^(2))^(13-r_(1))=(y)^(14-r_(1))(x^(2))^(r_(2))`
`:.r_(1)=2r_(2)` and `26-2r_(1)=14-r_(2)`
`:.r_(1)=8`, `r_(2)=4`
`:.` Only one term is common.
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