...and 4? 15 and 5? 16 and 2? 16 and 3? 16 and 4? 17 and 2? 17 and 3 ? 18 and 2? 2 and 2 are how many ? 3 and 3 ? 4 and 4 ? 5 and 5 ? 6 and 6 ? 7 and 7 ? 8 and 8 ? 9 and 9 ? 10 and 10? 29 Continue to lay down 4 at a time until 5 times 4 are laid down. 4 and 4, and 4 more,...

...important application of this table will be seen in the next Section. 31 Lett'rs. Singly. 2 and 2. 3and3. 4 and 4. 5 and 5. 6 and 6. 7 and 7. 8 and 8. 9 and 9. 10, 10. 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 3 6 10 15 21 28 36 45 1 4 10 20 35 56 84 120 1...

...application of this table will be seen in the next Section. 31 Lett'rs. Singly. 2 and 2. 3 and 3. •i and 4. 5 and 5. 6 and 6. 7 and 7. 8 and 8. 9 and 9. 10, 10. 1 1 2 2 1 3 3 3 1 Number of combinations. 4 4 0 4 1 5 5 10 10 5 1 6 6 15 20 15 6 1 7 7 21 35...

...principle we may readily solve the following problem: he had, who answered, that when he numbered them 2 and 2, 3 and 3, 4 and 4, 5 and 5, 6 and 6, there remained one in each case; but when he numbered them 7 and 7, there remained 0; what number of...

...A gentleman asked a shepherd what number of sheep he had, who answered, that when he numbered them 2 and 2, 3 and 3, 4 and 4, 5 and 5, 6 and 6, there remained one in each case ; but when he numbered them 7 and 7, there remained 0 ; what number...

...and 1 ? 16. 16 and 1 are how many? 17 and 1? 18 and 1? 19 and 1? 9 and 4? 17. 2 and 2 are how many? 3 and 3? 4 and 4? 5 and 5? 6 and 6? 18. 7 and 7 are how many ? 8 and 8 ? 6 and 6 and 6 ? 7 and 7 and 6 ? EXERCISES FOR THE SLATE. /Sixteen....

...is, in fact, only 21, the 36 different ways of the dice falling being made up of six unique ways — 1 and 1, 2 and 2, 3 and 3, 4 and 4, 5 and 5, 6 and 6, and 30 other ways, consisting of 15 essentially different throws, each repeated twice : thus— 1 and...

...2. How many arrangements can be made of 10 colors taken 3 and 3? Of 7 colors taken 2 and 2 ? Taken 3 and 3 ? 4 and 4? 5 and 5 ? 6 and 6 ? 7 and 7 ? How many mixtures in each case, irrespective of proportions ? 4. How many different numbers can be...

...respectively the phenomenal attributes a, b, c; d, e,f; g, k, i ; and the noumenal attributes i and i', 2 and 2', 3 and 3', 4 and 4', 5 and 5', 6 and 6',...manner that the resulting combination is X, Y, Z: the phenomenal attributes would then be present to the mind thus : — a, b, c ; d, e, f; g, h, i ; and...

...2. How many arrangements can be made of 10 colors taken 3 and 3 ? Of 7 colors taken 2 and 2 ? Taken 3 and 3 ? 4 and 4 ? 5 and 5 ? 6 and 6 ? 7 and 7 ? How many mixtures in each case, irrespective of proportions ? 4. How many different numbers can be...