A disc jockey (DJ) has 7 songs to play. Four are slow songs, and 3 are fast songs. Each song is to be played only once. a) In how many ways can the DJ play the 7 songs if the songs can be played in any order? b) In how many ways can the DJ play the 7 songs if the first song must be a slow song and the last song must be a slow song? c) In how many ways can the DJ play the 7 songs if the first two songs must be fast songs? different ways. a) If the songs can be played in any order, the DJ can play the 7 songs in (Type a whole number.) b) If the first song must be a slow song and the last song must be a slow song, the DJ can play the 7 songs in different ways. (Type a whole number.) c) If the first two songs must be fast songs, the DJ can play the 7 songs in different ways. (Type a whole number.)
A disc jockey (DJ) has 7 songs to play. Four are slow songs, and 3 are fast songs. Each song is to be played only once. a) In how many ways can the DJ play the 7 songs if the songs can be played in any order? b) In how many ways can the DJ play the 7 songs if the first song must be a slow song and the last song must be a slow song? c) In how many ways can the DJ play the 7 songs if the first two songs must be fast songs? different ways. a) If the songs can be played in any order, the DJ can play the 7 songs in (Type a whole number.) b) If the first song must be a slow song and the last song must be a slow song, the DJ can play the 7 songs in different ways. (Type a whole number.) c) If the first two songs must be fast songs, the DJ can play the 7 songs in different ways. (Type a whole number.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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5.
![A disc jockey (DJ) has 7 songs to play. Four are slow songs, and 3 are fast songs. Each song is to be played only once.
**a) In how many ways can the DJ play the 7 songs if the songs can be played in any order?**
**b) In how many ways can the DJ play the 7 songs if the first song must be a slow song and the last song must be a slow song?**
**c) In how many ways can the DJ play the 7 songs if the first two songs must be fast songs?**
---
**For the answers:**
- a) If the songs can be played in any order, the DJ can play the 7 songs in [box to fill with a number] different ways.
(Type a whole number.)
- b) If the first song must be a slow song and the last song must be a slow song, the DJ can play the 7 songs in [box to fill with a number] different ways.
(Type a whole number.)
- c) If the first two songs must be fast songs, the DJ can play the 7 songs in [box to fill with a number] different ways.
(Type a whole number.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faebb69bd-3f9d-42b2-82f4-ec61105a4478%2Fc50c2130-f3d2-4bcf-9303-ecc93e69848b%2Ffrtlfqe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A disc jockey (DJ) has 7 songs to play. Four are slow songs, and 3 are fast songs. Each song is to be played only once.
**a) In how many ways can the DJ play the 7 songs if the songs can be played in any order?**
**b) In how many ways can the DJ play the 7 songs if the first song must be a slow song and the last song must be a slow song?**
**c) In how many ways can the DJ play the 7 songs if the first two songs must be fast songs?**
---
**For the answers:**
- a) If the songs can be played in any order, the DJ can play the 7 songs in [box to fill with a number] different ways.
(Type a whole number.)
- b) If the first song must be a slow song and the last song must be a slow song, the DJ can play the 7 songs in [box to fill with a number] different ways.
(Type a whole number.)
- c) If the first two songs must be fast songs, the DJ can play the 7 songs in [box to fill with a number] different ways.
(Type a whole number.)
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