We have 3 vowels. The number of ways we can arrange them so they are next to each other is 3!=6. Now we have to find the number of ways we can arrange these 3 vowels with the remaining letters. As the vowels have to come together, we can treat them as one letter. Therefore we have 5 letter altogether. The number of ways we can arrange the vowels with the remaining letters is 5!=120.
6*120= 720
The word 'LEADING' has 7 different letters. When the vowels EAI are always together, they can be supposed to form one letter. Then, we have to arrange the letters LNDG (EAI). Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways. The vowels (EAI) can be arranged among themselves in 3! = 6 ways. Required number of ways = (120 x 6) = 720. The word 'LEADING' can be arranged 720 different ways in such a way that vowels always come together.
The word 'LEADING' can be arranged in 720 different ways with the vowels always grouped together. This is achieved by treating the vowels as a single unit and then calculating the arrangements of the group and the vowels themselves. The calculations yield a total of 720 arrangements.
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Pedoman penskoran:- Soal benar: +5- Soal salah: -2- Soal tidak dijawab: -1Diketahui:- Kiya menjawab benar 32 soal- Kiya tidak menjawab beberapa soal (jumlahnya belum diketahui)- Sisanya adalah soal yang dijawab salahJumlah soal: 40 butirLangkah 1: Hitung jumlah soal yang salah:Jumlah soal salah = 40 - 32 (soal benar) - jumlah soal yang tidak dijawabLangkah 2: Misalkan jumlah soal yang tidak dijawab adalah X:Soal salah = 40 - 32 - X = 8 - XLangkah 3: Hitung skor Kiya:Skor = (32 soal benar × 5) + ((8 - X) soal salah × -2) + (X soal tidak dijawab × -1)Skor = 32(5) + (8 - X)(-2) + X(-1)Skor = 160 + (-16 + 2X) - XSkor = 160 - 16 + XSkor = 144 + XSkor Kiya tergantung pada jumlah soal yang tidak dijawab (X).