Total numbers of terms in the expansion of 3 x-y-2 z10 is -A- 67B- 64C- 66D- 65

The correct option is C 66Total numbers of terms in (x+y+z)^n is nbsp;^n+3 1C_3 1 Total numbers of terms in the expansion of nbsp; nbsp;(3x y+2z)^10 is ...

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Standard XII

Mathematics

Multinomial Expansion

Total numbers...

Question

Total numbers of terms in the expansion of $(3 x - y + 2 z)^{10}$ is :

66

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Solution

The correct option is A $66$
Total numbers of terms in $(x + y + z)^{n}$ is $^{n + 3 - 1} C_{3 - 1}$
Total numbers of terms in the expansion of $(3 x - y + 2 z)^{10}$ is $^{10 + 3 - 1} C_{3 - 1} = 66$

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Total numbers of terms in the expansion of (3x−y+2z)10 is :

The correct option is A 66Total numbers of terms in (x+y+z)n is n+3−1C3−1 Total numbers of terms in the expansion of (3x−y+2z)10 is 10+3−1C3−1=66

Total numbers of terms in the expansion of $(3 x - y + 2 z)^{10}$ is :

The correct option is A $66$
Total numbers of terms in $(x + y + z)^{n}$ is $^{n + 3 - 1} C_{3 - 1}$
Total numbers of terms in the expansion of $(3 x - y + 2 z)^{10}$ is $^{10 + 3 - 1} C_{3 - 1} = 66$