Question 153448
1.In how many different ways can 6 classes be scheduled during a 6-period day?
6!
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2.In how many different ways can you arrange the letters of the word INTERNET?
8!/[2!*2!*2!*2!]
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3.In how many different ways can you arrange the letters of the word COMPUTER taking 4 at a time?
8P4 = 8*7*6*5
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4.In how many different ways can you arrange the letters of the word TRIGONOMETRY?
12!/[2!*2!*2!]
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5.In how many different ways can the 9 starters of a baseball team be placed in their positions?
9!
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6. How many different two-digit numbers can be formed from the digits 3, 1, 4, and 5 (allowing reuse)? 
4*4
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7. Of 10 candidates, the first 6 are being interviewed in the morning, and the last 4 in the afternoon. In how many ways can the interviewer arrange a schedule?
10C6*6! * 4C4*4!
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8.How many 7-digit phone numbers can be formed if the first digit cannot be 0 and 
a.repetition of digits is not permitted?  9*9*8*7*6*5*4
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b.if repetition of digits is permitted? 9*10^6
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etc.
9. The Board of Directors does not have assigned seats in the conference room. If there are 12 of them, seated at a round table, how many different seating arrangements are possible?
10. Using the letters of the word YOUNG, tell how many different 5-letter combinations are possible if: 
a. the first letter must be Y
b. the vowels and consonants alternate, beginning with a consonant (Y is a consonant here and Y does not have to be first).
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Cheers,
Stan H.