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Binomial Theorem And Its Simple Applications Questions
12 Practice QuestionsStart Practicing Now
- [Easy]The number of terms in the expansion of (a + b)ⁿ is...
- [Hard]The ratio of the coefficient of x¹⁵ to the term independent of x in (x² + 2/x)¹⁵ is...
- [Easy]Using binomial theorem, (99)⁵ can be expressed as...
- [Easy]The sum C(n,0) - C(n,1) + C(n,2) - C(n,3) + ... equals...
- [Easy]The value of C(n,0) + C(n,1) + C(n,2) + ... + C(n,n) equals...
- [Easy]In Pascal's triangle, the sum of elements in the nth row is...
- [Hard]If the coefficient of x⁷ and x⁸ in (2 + x/3)ⁿ are equal, then n equals...
- [Medium]The middle term in the expansion of (x + 1/x)¹⁰ is...
- [Easy]The 4th term in the expansion of (x + 2)⁶ is...
- [Easy]The coefficient of x⁵ in the expansion of (1 + x)¹⁰ is...
- [Medium]The term independent of x in the expansion of (x² - 1/x)⁹ is...
- [Hard]In the expansion of (1 + x)ⁿ with n > 10, if the coefficients of the 5th, 6th, and 7th terms are in AP, then n equals...