Web14 okt. 2024 · So, the 3 groups of books can be arranged in 3! = 6 ways. Furthermore, the physics books can be arranged in 4! = 24 ways, the math books in 2! = 2 ways, and the chemistry books in 3! = 6 ways. Thus, the total number of ways to arrange the books is 6 x 24 x 2 x 6 = 1728 ways. Answer: B. Web12 nov. 2024 · The number of ways of arranging n unlike objects in a line is n! (pronounced ‘n factorial’). n! = n × (n – 1) × (n – 2) ×…× 3 × 2 × 1 How many different ways can the letters P, Q, R, S be arranged? The answer is 4! = 24. The first space can be filled by any one of the four letters. Number of ways to arrange a set of items (Math) Watch on
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Web19 jul. 2016 · Number of ways of arrange n things (If n = 5!) ⇒ 5× 4 × 3 × 2× 1 = 120 ways to arrange fine objects . In general say that there are n! permutations of n objects . This quantity n C r is called the "combination" and represents the probability of picking r distinguishable outcomes out of n without regard to the order of picking each outcome. Web13 apr. 2024 · The number of ways in which these 4 men can be seated at the circular table is 3! = 6. 3! = 6. Now the 4 vacant seats can be occupied by the women in 4! = 24 … did anyone win the mega million today
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WebIn a 7 horse race, Bill thinks horses 1, 4, 6, will be the top 3 horses in the race, but not necessarily in that order. If Bill is correct, how many different outcomes are possible? Of a group of 50 students, 20 are freshmen, 10 are sophomores, 15 are juniors, and 5 are seniors. 5 members must be chosen. Webcan be put in any order in the bundle, so the number of ways to get such a bundle is 2!. Similarly there are 3! ways to get a bundle of novels. Now there are 3! ways to put these two bundles together with the chemistry book onto the shelf in any order, so by the multiplication principle, the number of ways is 3! 2! 3! = 72: WebWe can draw the first in 4 different ways: either a or b or c or d. After that has happened, there will be 3 ways to choose the second. That is, to each of those possible 4 there will correspond 3. Therefore, there are 4 · 3 or 12 possible ways to choose two letters from four. did anyone win the mega tonight