Direction: Determine the number of permutations of the following words. 1. PURPOSE 2. FULFILL 3. MANILA

5. Select a number for each blank to make each sentence true. At midnight on Saturday, the temperature in Fargo, ND is -8 degrees. If it was 8 degrees warmer 24 hours earlier, then the temperature was [CHOICE 1] degrees at midnight on Friday. If it is 5 degrees colder 24 hours later, then the temperature will be [CHOICE 2] degrees at midnight on Sunday. Choice 1 Choice 2 -16 -13 -8 -3 3 8 13

Use the following information to answer the next question Leonidas is having a party and is planning to play some great music over the dinner hour. He made a short list of 18 songs that include 10 classical songs and 8 jazz songs. Over the dinner hour it is decided that of the 18 songs, 4 classical songs and 3 jazz songs will be selected, and then arranged into an order to be played. To determine the number of potential music arrangements for the party the following expressions were created: i) 10C4 X 8C3 X 7! ii) 10P4 8P3 iii) (¹0)(3) × 5040 iv) 18P7 v) (10 x 9 x 8 x 7) × (8 × 7 × 6) vi) 11. How many of the above expressions are correct? a) 5 b) 4 (10x9x8x7) (8x7x6) X 4! 3! c) 3 x 7! d) 2

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5 different elves (Sue, Marcia, Cher, Jane, and Johnny) each make a different toy (ball, car, top, sled, or train). Each elf wears a different color (green, yellow, blue, red, or orange) and each builds a different number of toys. Use the poem below to decipher which elf wore what color and made how many of what toy!! ---------------------------------------------------- The Boss's pack held thirty toys Made by his elfin crew; And though none made the same amount, Each elf made more than two. The elf named Cher made one more toy Than the elf who dressed in reds, But Cher made one less holiday toy Than the elf who made the sleds. Spry Johnny elf made racing cars; Five toys were made by Jane. The elf who dressed in yellow suits Made each and every train. The elf who always dressed in green Made one-third as many as Sue. Cute Marcia elf was dressed in orange, And one elf dressed in blue. The elf who made the spinning tops Made the most toys of them all. Another perky, smiling elf Made each…

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How many different​ 10-letter words​ (real or​ imaginary) can be formed from the following​ letters?   nbsp Upper H comma Upper R comma Upper I comma Upper B comma Upper J comma Upper I comma Upper R comma Upper I comma Upper P comma Upper Y