The number of distinguishable arrangements that can be made from the word "KITCHEN", if the vowels must stay together, is

Question

The number of distinguishable arrangements that can be made from the word "KITCHEN", if the vowels must stay together, is (A) 2 ! × 5 ! × 2 ! (B) 2 ! × 5 ! (C)  7 P 2 × 5 C 5 (D) 2 ! × 6 !

Tardigrade Admin · Accepted Answer

Correct answer is (d) 2 ! × 6 !

Q. The number of distinguishable arrangements that can be made from the word "KITCHEN", if the vowels must stay together, is

$2! \times 5! \times 2!$

2 ! $\times 5$ !

$^{7} P_{2} \times^{5} C_{5}$

$2! \times 6!$

Correct answer is (d) $2! \times 6!$

Q. The number of distinguishable arrangements that can be made from the word "KITCHEN", if the vowels must stay together, is

2!×5!×2!

2 ! ×5 !

7P2​×5C5​

2!×6!

Correct answer is (d) 2!×6!

$2! \times 5! \times 2!$

2 ! $\times 5$ !

$^{7} P_{2} \times^{5} C_{5}$

$2! \times 6!$

Correct answer is (d) $2! \times 6!$