Question

How many words can be formed with the letters of the word 'GANESHPURI' in which occupy odd position?

Answer 1

Step-by-step explanation:

GANESHPURI: No. of letters =10 vevels are AEUI i.e. 4 and consonants 6.

We have ten places out of which 5 places are old i.e. 1 st ,3 rd,7 th,9 th

and five are even i.e. 2 nd

, fourth, sixth, eighth and tenth. In the five even places we have to fix up 4 vowels which can be done in

5

P

4

ways. Having fixed up there vowels in even places, we will be left with six places namely 5 odd arid one even left after fixing the four vowels. In these six places we have to fix six consonants which can be done in

6

P

6

i.e. 6! ways.

Thus the total number of ways is

5

P

4

×

6

P

6

.

or 5!×6!=120×720=6(120)

2

.

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