Difference between revisions of "2005 iTest Problems/Problem 49"
(Created page with "In the word "ITEST", T is repeated two times. Since the two T's are identical, the number of permutations of "ITEST" is 5!/2!=60.") |
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| − | + | ==Problem== | |
| + | Find the number of distinct permutations of <math>ITEST</math>. | ||
| + | ==Solution 1== | ||
| + | Since the two T's are identical, the number of permutations of "ITEST" is <math>\frac{5!}{2!}=\boxed{60}</math>. | ||
| + | ==See Also== | ||
| + | {{iTest box|year=2005|num-b=48|num-a=50}} | ||
| + | |||
| + | [[Category: Introductory Combinatorics Problems]] | ||
Latest revision as of 19:09, 13 October 2025
Problem
Find the number of distinct permutations of 
.
Solution 1
Since the two T's are identical, the number of permutations of "ITEST" is 
.
See Also
| 2005 iTest (Problems, Answer Key) | ||
| Preceded by: Problem 48 |
Followed by: Problem 50 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 • 51 • 52 • 53 • 54 • 55 • 56 • 57 • 58 • 59 • 60 • TB1 • TB2 • TB3 • TB4 | ||
