3. How many three digit numbers can be formed from the set 0, 1, 2, 3 .........9 if repetitions are not allowed and the number must be divisible by a. 10 ? b.. 25? c. even?

Q: 3. Suppose 1500 runners are in a race. How many ways could the runners finish in 1*, 2nd and 3rd…

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Q: 3. In how many ways can you arrange 5 books on a shelf from available 10?

A: The number of all combination of n things, taken r at  time is given by:

Q: 3. Suppose we want to create a three-digit number. We are allowed to use the digits 0, 1, 3, 4, 6,…

A: We want to create a three digit number.   We are allowed to use the digits 0,1,3,4,6,7 and 9…

Q: 2. How many 3 element subsets of the set {a, b, c, d, e, f, g, h, i} contain no vowels?

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Q: In how many ways can 3 English, 3 history, and 3 math books be set on a shelf, if the English books…

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Q: Prizes are to be given to different people in a group of 18. In how many ways can a first prize, a…

A: Use the given information.

Q: A disc jockey (DJ) has 7 songs to play. Four are slow songs, and 3 are fast songs. Each song is to…

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Q: How many different 6-letter words can be made a. if the first letter must be E or W and no letter…

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