Given the different situations below, illustrate the number of permutations in three ways:
1. How many three-letter code words can be formed from the letters of the word LOVE if repetition is not allowed?
2. How many two-digit numbers can be formed from the numbers 1, 2, 3, 4, 5 if repetition is not allowed?
3. A person has to choose two-digits from 1, 2, 3 and 4 numbers to make two-digit number.How many different arrangements of the digits are possible if repetition is allowed?
1. How many three-letter code words can be formed from the letters of the word LOVE if repetition is not allowed?
2. How many two-digit numbers can be formed from the numbers 1, 2, 3, 4, 5 if repetition is not allowed?
3. A person has to choose two-digits from 1, 2, 3 and 4 numbers to make two-digit number.How many different arrangements of the digits are possible if repetition is allowed?
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Answer:
1. 4 x 3 x 2 = 24 ways
2. 15
3. 16
(GOODLUCK ON STUDIES)
And Number of ways that unit's digit can be filled is 3 (as mentioned two digit odd numbers). That is 1 or 3 or 5 (repetition is allowed).