+4 
+36 Apr 21, 2025
+36 Apr 20, 2025
+977 +977 +977 Consider the set
S = {1, 2, 3, 4, 5, 6, 7, 8, 12, 13, 14, 15, 16, 17, 18, 23, 24, ..., 12345678},
which consists of all positive integers whose digits strictly increase from left to right, and the digits are from 1 to 8. This set is
read more .. Apr 19, 2025
+450 +450 
+594 +594 +594 
+1786 Apr 18, 2025
+36 +36 +36 Apr 17, 2025
+357 +357 +36 +36 +36 +36 
+806 
+958 +958 
+22 +450 +450 +450 +450 
+400 Apr 16, 2025
+400 +400 Apr 15, 2025
+400 +400 Apr 14, 2025
+400 +400 Apr 13, 2025
+400 A permutation of the numbers (1,2,3,\dots,n) is a rearrangement of the numbers in which each number appears exactly once. For example, (2,5,1,4,3) is a permutation of (1,2,3,4,5).
Find the number of permutations (x_1, x_2, \dots, x_8)
read more .. +400 Find the number of sequences (a_1, a_2, a_3, \dots, a_8) such that:
* a_i \in \{1, 2, 3, 4, 5, 6, 7, 8\} for all 1 \le i \le 8.
* Every number1, 2, 3, 4, 5, 6, 7, 8 appears at least once in the sequence.
+400 A standard deck of 52 cards has 13 ranks (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King) and 4 suits (spades, hearts, diamonds, and clubs), such that there is exactly one card for any given rank and suit.
You are dealt a hand of
read more .. +400 +400 Apr 12, 2025
+400 
+1518 +1518 +1518 +1518 +806 +806 +806 +806 +806 +1786 +1786 A permutation of the numbers (1,2,3,\dots,n) is a rearrangement of the numbers in which each number appears exactly once. For example, (2,5,1,4,3)$ is a permutation of (1,2,3,4,5).
Let \pi = (x_1,x_2,x_3,\dots,x_n) be a permutation
read more ..
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