BITSAT 2009
Exam BITSAT
Year 2009
Subject Mathematics
Chapter Binomial Theorem
BITSAT 2009 · Mathematics · Binomial Theorem
The letters of the word TOUGH are written in all possible orders...
The letters of the word TOUGH are written in all possible orders and these words are written out as in a dictionary, then the rank of the word TOUGH is
Step-by-step solution
Rank = ( 4 ! × 3 ) + ( 3 ! × 2 ) + ( 2 ! × 2 ) + 1 = 72 + 12 + 4 + 1 = 89 \begin{aligned}& \text{ Rank }=(4 ! \times3)+(3 ! \times2)+(2 ! \times2)+1 \\
& =72+12+4+1=89
\end{aligned} Rank = ( 4 ! × 3 ) + ( 3 ! × 2 ) + ( 2 ! × 2 ) + 1 = 72 + 12 + 4 + 1 = 89 )
Practice Binomial Theorem on Quantrex Academy →
← Previous question The general solution of \(8 ^2 (x)/(2)= 1+ x\) is
More from Binomial Theorem
The coefficient of x^2 term in the binomial expansion of ((1)/(3) x^ (1)/(2) +x^ (-1)/(4)… BITSAT 2024 The coefficient of x^n in the expansion of e^ 7 x +e^x e^ 3 x is BITSAT 2024 The coefficient of the highest power of x in the expansion of (x+ x^2-1 )^8+(x- x^2-1 )^8 BITSAT 2024 If the 17^ th and the 18^ th terms in the expansion of (2+a)^ 50 are equal, then the… BITSAT 2024 If x^ 18 occurs in the rth term in the expansion of (x^4+(1)/(x^3))^ 15 , then what is… BITSAT 2023 The middle term in the expansion of ((10)/(x)+(x)/(10))^ 10 is BITSAT 2023 The number of terms in the expansion of (1+5 2 x)^9+(1-5 2 x)^9 , is BITSAT 2022 If the sum of the coefficients in the expansion of (x+y)^n is 1024 , then the value of… BITSAT 2022 The coefficient of the term independent of x in the expansion of ( (x)/(3) + 3 2 x^ 2 )^… BITSAT 2021 Coefficient of x^ 13 in the expansion of (1-x)^ 5 (1+x+x^ 2 +x^ 3 )^ 4 is BITSAT 2021 If a, b, c are three natural numbers in AP and a + b+c=21 then the possible number of… BITSAT 2020 Let (2x^ 2 + 3x + 4)10 = ∑ _ r = 0 ^ 20 a _ r x^ r , then the value of a_ 8 a_ 12 , is BITSAT 2019 If (1 + x + x^ 2 )20 = ∑ _ r = 0 ^ 40 a _ r · x^ r , then ∑ _ r = 0 ^ 39 (- 1)r · a _ r ·… BITSAT 2019 If the coefficient of x^ 3 and x^ 4 in the expansion of (1 + ax + bx^ 2 ) (1 - 2x)18 in… BITSAT 2019 In the expansion of (1 + x + x^ 3 + x^ 4 )10 , the coefficient of x^ 4 is BITSAT 2019 The coefficient of x^ - n in (1 + x)n(1 + (1)/(x))n is BITSAT 2018
Full Binomial Theorem list
Binomial Theorem JEE Maths PYQs JEE Mathematics PYQs
All BITSAT PYQs