0

Guest

Courses New

The number of words formed with letters PATALIPUTRA without changing the order of vowel & consonants..????

The number of words formed with letters PATALIPUTRA without changing the order of vowel & consonants..????

Grade:Upto college level

2 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
9 years ago
Hello student,
we need to arrange - C=consonant, V=Vowel
CVCVCVCVCCV
For V's we have to CHOOSE where to put the A's (as they are all the same - we simply choose 3 locations out of the 5 for the A's).That is 5C3.then we have two options to place the I and the U must be in the last available place.
Total number of arrangements for V's - 5C3x2x1 = 10x2x1 = 20.
C's -we CHOOSE the two locations for the P's 6C2 and then two locations for the T's 4C2 and then place the L in one of two places and the R lands in the last available place.
number of arrangements for C's - 6C2 x 4C2 x2x1 = 15x6x2x1 = 180
total words = 180x20 = 3600.
Thanks and Regards
Shaik Aasif
askIITians faculty
Manish
13 Points
5 years ago
Let us arrange it as cvcvcvcvccv . We can arrange vowels through 5!÷3! And we can arrange consonants through 6!÷2!2! . Then by principle of multiplication required no. Of ways = (5!÷3!) ×(6!÷2!2!)

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More