1
JEE Main 2021 (Online) 31st August Morning Shift
Numerical
+4
-1
Change Language
The number of six letter words (with or without meaning), formed using all the letters of the word 'VOWELS', so that all the consonants never come together, is ___________.
Your input ____
2
JEE Main 2021 (Online) 31st August Morning Shift
Numerical
+4
-1
Change Language
If $$x\phi (x) = \int\limits_5^x {(3{t^2} - 2\phi '(t))dt} $$, x > $$-$$2, and $$\phi$$(0) = 4, then $$\phi$$(2) is __________.
Your input ____
3
JEE Main 2021 (Online) 31st August Morning Shift
Numerical
+4
-1
Change Language
If $$\left( {{{{3^6}} \over {{4^4}}}} \right)k$$ is the term, independent of x, in the binomial expansion of $${\left( {{x \over 4} - {{12} \over {{x^2}}}} \right)^{12}}$$, then k is equal to ___________.
Your input ____
4
JEE Main 2021 (Online) 31st August Morning Shift
Numerical
+4
-1
Change Language
An electric instrument consists of two units. Each unit must function independently for the instrument to operate. The probability that the first unit functions is 0.9 and that of the second unit is 0.8. The instrument is switched on and it fails to operate. If the probability that only the first unit failed and second unit is functioning is p, then 98 p is equal to _____________.
Your input ____
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