TCS Company Numerical Ability Permutation and Combination

How many words of 11letters could be Formed with all the vowels present only in the even places ,and the consonants only in the odd places,using letters of english alphabet each letter may appear only once.the vowels are A E I O U and consonants are remaining letters of the alphabet .in the answers n! denotes n factorial a)21! B)26!/5! C) 21! /(5! * 5! ) d)21!* 5!/5!

Read Solution (Total 4)

(21*20*19*18*17*16)*5! = 21! * 5! / 15!
8 years agoHelpfull: Yes(38) No(1)

5 vowels 5 places = 5!
21 vowels in 6 places =21P6
i.e 5!*21!/5!
8 years agoHelpfull: Yes(7) No(4)
theriyala
8 years agoHelpfull: Yes(2) No(5)
answer is (C)
8 years agoHelpfull: Yes(0) No(12)

TCS Other Question

In the polynomial f(x) =2*x^4 - 49*x^2 +54, what is the product of the roots, and what is the sum of the roots (Note that x^n denotes the x raised to the power n, or x multiplied by itself n times)?
a) 27,0
b) 54,2
c) 49/2, 54
d) 49, 27 29.the number 2^32 -1 has several divisors greater than 1 and less than 100.the sum of these divisors is clue:2^2n+1 is a prime for n=1,2,3,4 a)172 b)125 c)91 d)176