Math, asked by Pruthviraj1515, 1 year ago

How many words comprising of any three letters of the word “UNIVERSAL" can be formed
(a) 504
(b) 405
(c) 540
(d) 450


plz solve it urgently
it's the question of My CET Exam​

Answers

Answered by sanchari46
11

Answer:

9×8×7

Step-by-step explanation:

Well by permutation formula , we get 9P3

Therefore 9×8×7= 504

Hope it helps ✌️✌️✌️✌️✌️

Answered by SharadSangha
7

The total number of 3 letter words which can be formed = 504.

We have all the letters of the word UNIVERSAL unique.

Hence they can only be used once.

We have to find a 3 letter word from it.

For the first letter we have 9 choices as any letter from the word can be used.

For the second letter we get 8 choices as any letter except the first can be used.

Similarly for the third we get 7 choices.

Hence the total number of 3 letter words which can be formed using the letters of the word UNIVERSAL = 9x8x7 = 504.

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