Question
In how many different ways can the letters of the word
“INCORPORATION” be arranged so that the vowels comes together?Solution
In the word “INCORPORATION”, we treat the vowels IOOAIO as one letter Thus, we have, NCRPRTN (IOOAIO) This has 8(7+1) letters of which R and N occurs 2 times and the rest are different Number of ways arranging these letters = 8!/(2! ×2!) = 10080 Now, 6 vowels in which O occurs 3 times and I occurs 2 times, can be arranged in 6!/(3! ×2!) = 60 ∴ Required number of ways = 10080 × 60 = 604800
What will come in the place of question mark (?) in the given expression?
(11/45) of 225 + 3 X 75 = ? X (72 ÷ 6 + 4)
If 960 ÷ 16 + 875 ÷ 25 - x + 28 × 6 = 1350 ÷ 18 × 222 ÷ 37, then the value of x is:
(1/5){(2/5) × 400 + 20% of 150} = ?
144 (1/2) × 14 – 28 = 7 × ?
What will come in the place of question mark (?) in the given expression?
28 X 3.5 + 12 X 6 = ? X 4 + 90
What will come in the place of question mark (?) in the given expression?
{(2/15) + (12/25)} of 375 + 190 = ?% of 375
14% of 700 + 15% of 900 + 10% of 160 = ?
Find the value of (x + y)² - (x - y)², where x = 15 and y = 7.
√144 × √121 + 25% of 600 = ? + 256
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