The number of four letter words can be formed from the letters of the word INFINITY so that 3 are alike, one is different is

^{8} C_{4}

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Solution

The correct option is B 4
3 letters same, fourth different (Form: aaab) Only I appears 3 times so it must be selected. We have to select one letter from the other four. We can choose the fourth letter in 4 ways. Since I is repeated 3 times, the four letters can be arranged in 4!/3! = 4 ways

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The number of four letter words can be formed from the letters of the word INFINITY so that 3 are alike, one is different is

The correct option is B 43 letters same, fourth different (Form: aaab) Only I appears 3 times so it must be selected. We have to select one letter from the other four. We can choose the fourth letter in 4 ways. Since I is repeated 3 times, the four letters can be arranged in 4!/3! = 4 ways

The correct option is B 4
3 letters same, fourth different (Form: aaab) Only I appears 3 times so it must be selected. We have to select one letter from the other four. We can choose the fourth letter in 4 ways. Since I is repeated 3 times, the four letters can be arranged in 4!/3! = 4 ways