Home Maths Binomial Theorem & Mathematical Induction Mix Which of following will not be true ?
Maths Binomial Theorem & Mathematical Induction Mix Single Correct MCQ
Published on: August 11, 2026

Which of following will not be true ?

A
The expansion of (x + y + z) 10 will contain 66 terms
B
The coefficient of x 3 y 2 z 5 will be
C
There cannot be term of x 3 y 2 z 4
D
= 3 10

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Text Solution

Verified by Experts
The correct answer is:
CHECK THE SOLUTION.

(a, b, c, d)

Explanation

is correct since x + y + z = 10 has 10+3–1 C 3–1 = 66 solutions in non negative integers.

is correct by multinomial theorem. coeff. of x α y β z γ ( α + β + γ = 10) will be

is correct since sum of powers of x, y and z is 9 and there cannot be any term containing sum of powers different from 10

follows by putting x = y = z = 1 in (x + y + z) n

=

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